The battery indeed by no means (at least on intel 11th, 12th gen cpus) is what I would call exceptional (4-9 hours on a i5 1240p with two USB-A, two USB-C passive modules). Some expansion modules such as the microSD reader can be a detriment to battery life overall as well as some modules (like the older revision of the HDMI module) have issues not powering off for power saving properly.
For the HDMI module, Framework has published a guide for those that wish to mod their older revision HDMI modules to get power saving to work like how it does on the new revision. As such, there is hope that for those skilled enough to do their own repairs that the worse off modules today may be able to be made better tomorrow rather than thrown away for a new revision.
Given my limited usage of system themes to one that has flatpak packages (Materia) and tendency to go through the permissions of new flatpaks and tighten them anyway, those are good points to mention. For theming, it is definitely a trouble point depending on the platform and theme used. Especially when combining Qt5/Qt6 apps, Fltk, GTK2,3+, and GTK4 applications together, things may get even more messy than consistent theming on native applications. Having comprehensive theme packages for the theme you use almost completely resolves this problem. Though I doubt predefined customization isn't something that will be popular with some users given that ricing your Linux desktop to the extreme is a huge selling point of the Linux desktop for many.
I did forget about how especially with Flatpak and Snap how there is no actual guarantee that the default sandboxing permissions will actually be any good or even usable on many applications, which is an issue that partially comes from when community maintainers end up publishing packages for developers rather than developers or dedicated platform testers publish a given package (a common practice for many applications on the Flathub repository).
It is disingenuous to simply state that people think new = bad. There are definitely both advantages and disadvantages to the current containerized packaging platforms / formats at the moment. Some of which, some people may see as greater positives, negatives than others.
There are a few obvious security implications with the rise of containerized packaging. One of the first is the move away from true centralized, least trust packaging. With traditional packages, you are trusting your distro maintainer (be it Debian, Canonical, RedHat, Arch, SUSE, etc.) To provide patched versions of software from their trusted repository mirrors to your computer. This does a few things like limiting the amount of places that you need to download software binaries from, as well as having other potential benefits like checksum validation on downloaded packages.
Most containerized package platforms including Docker, Snap, Flatpak tend to have a centralized set of repository mirrors, but anyone may compile and publish their own software to it. Flatpak is kind of the exception to this. Some distros (i.e. Fedora) publish their own sets of repos with flatpak packages. This is because Flatpak allows for more than one source repo for packages. I do believe Docker, Podman allow for the same as well. Snap infamously doesn't allow any repos other than Canonical's proprietary community repo.
Most of these containerized packages solutions also offer varying levels of sandboxing, which is a good set of security features that could benefit individual hosts from potentially vulnerable software. One could argue that flatpaking Firefox or other browsers and jailing them to limited capabilities and filesystem access is a good thing given the potential for malware propagation through such applications.
In particular though, most containerized solutions aren't generally hated by online user communities except Snap, which has both been among the most restrictive as well as furthest behind in features, performance parity, and general user experience. Snap was for the longest time significantly far behind Flatpak for user land applications and still wouldn't be my first choice for server applications compared to Podman or Docker due to just not being nearly as flexible as the other two.
The performance of the platforms can vary compared to native. For the desktop-oriented platforms (Snap, Flatpak) they generally perform insignificantly different from native packages, although Snap packages that are built compressed have had horrific IO performance for the loading of package files (leading to atrociously slow startup times of applications in the past). This is supposedly better now, though I have no intention of installing Snapd to find out.
As a note for culture, people particularly also dislike Snap because of how badly Ubuntu (Canonical's Linux distro) is depending on it, including having Snap automatically reinstall after removal and dropping many packages from apt only to throw redirects in to pull the snap package when requested from apt. This is why de-snapped derivatives of Ubuntu are also popular.
As for package sizes, they tend to be a bit bigger than native, as well as the added cost of a second set of libraries. Many users online don't get the 'why' when their first package from Flatpak is nearly a 3 GiB download, despite the following packages will hardly be any different in size from native packages. In a way, these packaging solutions do remove an advantage of the singular set of libraries. If you use netbooks, SBCs, IoT devices, or other similar minimal storage devices, you might feel this impact. However most systems will only have a marginal increase of storage utilization overall from a second set of libraries being installed.