I don't think YIMBY organizations should stop making those arguments, since it's certainly an important part of the debate. But I think they should also try appealing to people's self-interest by highlighting personal benefits like density building local businesses and services that wouldn't be possible otherwise. Give people a reason to not only want more housing, but want more housing where they already live.
One test of that would be, do they opt for more personal space if the chance arises?
What people actually want is 1) to live in a nice place where there are a bunch of amenities and 2) to have space. But since 2 is expensive in nice places, they use zoning laws and other NIMBY stuff to try and get the space at others' expense, rather than buying a sufficiently large lot, which is not cheap.
[1] And I'm not talking the usual suspects (Trump supporters, "conspiracy theorists", etc)
[2] Even as recent as January 6, 2021