How does the lurker feel about being in bendy form? Does he ever wish he had a unique body, one that he can truly call his?
It might be a bit of an odd perspective, but I don't think the Lurker sees the Bendy form coming from a character Henry and Joey made and it being "his" as mutually exclusive? Just as many people can look alike, or many people can have the same job title, he considers himself "a" Bendy more than stealing the form of the one and only true Bendy.
He WAS however initially worried that the JDS crew might expect him to be some version of the Bendy from the cartoons, just as the Masked Messenger before them had expected him to take on forms to bring to life the nightmares of other Hosts, distorting their expectations. But the boys made it clear to him early on they didn't expect him to be that. From his perspective, they gave him a form even though it was precious to them, and told him he could be whatever he wanted with it. He was expected to be neither the cartoon Bendy nor some specific distortion of it... Just his.
Initially I also don't think he'd even considered the concept of an identity he made completely and entirely for himself. The idea of being given one as a starting point and then being allowed to shape it or change it if he wanted was about as wonderous as he could imagine. As time went on it's possible he might have come to yearn for such a thing... if he had felt pressured into a specific Bendylike roll. But he never was. I think he feels he's been able to invent everything about himself that matters to him.
In fact in some ways, I think he's even more attached to the form because it was given to him so freely despite it resembling something that came from them. After all, that makes it just the sort of form he would have wanted for himself anyway; one that reflects him being part of their family.