Years ago, someone I'd dated a few times wanted to marry me, but totally didn't understand anything about me, which was made obvious by something he said...he wanted to know if I'd keep allowing the dogs in the house. What???????? I think at the time I had 4 dogs, and they had the run of the house, and actually slept with me. I straightened him out, fast and sent him on his way.
I agree that the one that invites should pay, but I also am pretty much of the Old School (logical, 'cause I'm Old) /snicker/ that even if I'd invite a man out, he should at the least offer to pay. Insist, more like it. It shows a dedication, and shows that he is truly interested in getting to know you, IMO, and is willing to foot the bill. His paying puts the woman at NO obligation for anything. Of course the individuals financial status has some impact as well.
If a man is not willing to pay for a date's dinner/whatever, I think that fact alone can forecast how he will act in a marriage. People Do Not Change. Their threads run through, truly.