Not really. Specifying “British” and nothing else suggests she’s willing to respond to American propaganda outlets (well, “she” as part of the campaign.) Also, the other dodge (that Kari went to the store but doesn’t own it) doesn’t in any way diminish the fact that she still gave the speech in front of the flag. If she didn’t want that image, she could have asked for it to be taken down or gone somewhere else.
She is willing to going to war for the rights of racists and misogynists. It really boggles the mind that these people exist in our modern world and actually get support.