I don't know that going out for lunch is necessarily starting a relationship. And why wouldn't people be attracted to you, ziggy! You listen, are kind, and pleasant to be with.
I had a relationship with a man 20 years older than I was. Sometimes, I think, it could have to do with having had good male role models your age. My father-in-law and I were good friends and liked the same music and "stories" and humor.
I think it depends on what you like and want; my father-in-law wouldn't let us celebrate his 80th birthday with a party because he didn't want his "girlfriends" to know how old he was! He had 2-3 of them, use to make his grandsons call him "uncle", etc.

But he just liked going out to dinner and dancing and having "companions" it wasn't about sex or living together or anything. Some of the woman would want to get married (this was in Florida) I'm sure but if a woman got too serious about him they'd break up. He had one woman who would come vacation with him from New England, a widow in her 50's. Another was a great dance partner (hard to find in 70+ year old/age-appropriate women? LOL).
Maybe this will be a great lunch partner for you? Check it out, ziggy.