id recommend custom email addresses.. most places let you tack on arbitrary strings to your email address or if you have your own domain, you can just forward all and use anyname@yourdomain on the fly.
no single system compromise can affect any other system
DHL for example will happily create an account for you with the "mail+xyz@gmail", but will sometimes drop the suffix internally. You can't reset your password for example. Super annoying.
Yeah I've come across several websites that don't let you use anything other than the usual suspects (@gmail.com, @yahoo.com, @live.com, etc.) but MOST of them let you use whatever you want.
Well, it gives you privacy, because your accounts are not tied to your domain.
Additionally anyone who finds out you're using a catch-all can spam you with 100 different email addresses and it's like spam callers who call you from 100 different numbers, you can't block them all.
Someone caught onto my antics and started fucking with me and sending me all kinds of creepy emails. Ended up having to kill the catch-all, along with changing all the emails registered to it.