Take anything an individual girl tells you with a grain of salt. There's a good chance that she only needs a "deep connection" with guys who aren't hot and rich. Or that she thinks a deep connection is the 4th date.
In general, I would be turned off by a girl who is actually demisexual because to me it sounds like she doesn't like sex very much. for example, when we only take girls out to dinner during a serious relationship, it's because we don't like taking girls out to dinner lol.
I once talked to a bisexual girl who said she only likes having sex with men that she's in love with, but she loves hooking up with girls. Sounded like Alpha Fux and Beta Bux to me.