I remember similar situation in a limped pot. I had 96o on BB.
Flop comes A66, I bet flop, V calls, I bet turn, V calls, I bet river, V jams.
board was like A6632
V is a nit old guy. I was so puke feeling that I'm beat. But I called because of the pot odds.
V roll over 67 and told me oh I thought you have an A.
Even nitty can overplay their hands. That justify many calls against them mathematically.