i wondered if people felt this way too, so tysm for sharing your thoughts!
i've related somewhat to the 'pressure to consider rehoming them' part, especially when i see the same character added into multiple people's wishlist/dreamie folders.
it makes me worry that maybe i'm not good enough to own them and others are trying to show they'll take more care of them then me i suppose?

yes i have no issues with people favouriting my characters at all and that makes me really happy, it was just the concept of the folders that left me a little uncomfortable.
i've seen some people's 'wishlist' folders just full of UFT/S characters and these i have no issues with either, i feel maybe these are the kinds of characters that should be added to them rather than those that have no mention of being UFT/S like you mention.