I agree that they can't completely keep feelings out of it.

Lt

Maybe before terminating just go weekly once instead of 2x. Give yourself some space and time to really ponder

We can all suggest but end of day it's your call. Maybe terminating is right. Maybe not. Only you know. It sucks but as we have pointed out before he's clearly uncomfortable with the deep attachment in some ways like the stone and sadly pushing it wont change his feelings. You gotta find a way to both deal with it that works.

At this point what does the stone really mean to you? It's kinda like how my t refused touch. It hurt. I felt rejected and ready to terminate too. In time though I just let it go and respected his wishes and focused on other things. I knew no matter how much I wanted it he wasn't gonna give in
Sucks but it happens. Hope this isn't too harsh. I support whatever choice you make but like I said its only one you can make. Take some good time to really reflect this weekend