There's some self selecting bias there, going to a 'furry convention' is a rather steeper level of engagement than just, say, looking at a webcomic featuring art like this mascot here.
Those more hard core sexual furries scare off casual furries as well as folks a bit timid about being associated with the most... Forthcoming portion of the fandom.
It's rough on some as they want to engage without sexual interest in the aesthetic, but as a result get grouped in with those with a sexual interest. They want to identify as something, and furry is closest, but they aren't into the sexual facet and struggle with that broad association.
I don't see why any level, even knowing "furry" would find these particular designs "objectionable" and worthy of rejecting. They aren't even vaguely fetishized.