It could definitely change over time. One of my greys who was rehomed to me at the tender age of 3.5 months was a little cuddler with me for the first month. Then I made the mistake of allowing his first owner to come visit him as he was having a difficult time letting go. During that visit Fynn nipped me for the first time, and from that moment on he wouldn't have anything to do with me. I know now that it was a mistake having his first owner come over, because this little smarty pants put 2 and 2 together that I was the evil one who'd removed him from his first home.
Fast forward to today, 2 years later: Fynn allows me to scritch him through the cage bars and occasionally flies over to me, but he remains cautious of me. My daughter became his chosen one soon after his first owner's visit, so he gets plenty of love and attention. I've accepted Fynn's choice of people 100%, and believe that eventually he'll allow me to freely interact with him.
I also have a Panama Amazon who, from day one, chose my sons as his favorites. Both sons have since left the house, and now, 7 years later, he will freely step up for me. Point I'm trying to make is that it takes time. Lots and lots of time plus a huge dose of patience to establish a relationship with a bird that's clearly chosen another as his favorite.