Well, you really should. You'd be surprised the shit that people hide and lie about.
Years ago, an acquaintance fixed me up with a friend. Gorgeous, fit, my age, great job, lots in common...google stalked him, and apparently he was 3 months separated, and had twin babies that were 6 months old. Who splits with little ones that age? Well, divorce records showed the reasons. Not to mention his bankruptcy. Whatta mess.
You can wait as long as you like for the truth to reveal itself. I'd rather not invest more than 10 minutes in someone who is lying to me. Why bother to spend the energy on someone who's shady?
I like to google a date mainly to verify what he's told me. *Most* of the time it has checked out. This one had too many red flags, and required a deeper investigation. And, I'm really glad I did it. Spared me a lot of pain and heartache down the road.
And, not sure why you're so hung up on the sex thing. People that are liars tend to be very good at it, and can carry on a charade for months, if not longer. Again, why invest weeks or months into someone who's lying about who they are, their availability...? Point being, you can wait 2 months to have sex with someone, and chances are if they're lying and gotten you that far into the game, you still won't know.
This guy has a wife in a different state, which explains why he flies there for a few days a month. If I didn't know about the wife, I'd believe his lie that he had business to conduct. See what I mean?