Having no personality is sheer impossibility.
It is all a question of compatibility, but looks are important as other bodily parameters and functions.
You want honesty. If I tell you that I had a great (or so I thought) friendship with a guy and absolutely no physical attraction (nada!), I decided to overrule my "physical" objections and still make it work.
Well, it did not. Something was not working. Besides no chemistry, there was a problem in a performance department.
I thought we would remain friends nonetheless, but we broke up. It still hurts more than all my break-ups with the mostly short-lived more physical romances/connections combined.
Despite such ease that everyone has deciding looks versus personality it is not that easy at all.
There was an emotional bond and there is an emotional void now. He is a person with a personality, not just a person with looks (not great looks).
But it would be a mistake to think that other men I dated had no personality. None of them were bad in a personality department. Caring, funny, different. Offering marriage more often than I care to admit.
But I subconsciously choose those where I am least likely to fall in love with. I am still grateful for every meeting and connection I had.
Would I like a gorgeous Greek God with Intelligence to match? You bet.
Will it happen? Yeah, right.