*snip*
Pretty much — the user should just be responsible enough to do at least a little bit of digging before using a certain wallet service/feature. Because if we'd like to delist every wallet that has some controversy, we'd probably run out of wallet to list besides Bitcoin Core.
Newbies seem to first be sure the reputation of where they are getting their information and once they discover that their source of information is reliable, they will believe whatever is emanating from there.
If there are other things wallets should compromise, it shouldn't be privacy.