If so, what happens if I just buy 51%?
It seems that the argument against being a timeshare is that it is structured in a legally different way, where Pacaso itself does not own the house anymore, they just collect a monthly fee similar to a condo association. This seems like really, the ultimate in rent-seeking. I'm going to sell something and force you to continue paying me for it, until you sell it to some other poor sucker.
It seems like the obvious move would be to acquire a controlling share and vote Pacaso out, then start issuing new shares with your controlling ownership to pay for maintenance fees or any other incidental costs of the house. Continue issuing shares until the other owners are diluted enough to own like, < 1 day a year, buy them out for cheap...
It seems like the only way for Pacaso to guard against this would be to retain a controlling ownership, at which point they are much closer to being a time-share.