And there we are: the friendly Mr. Rogers
settles down in an alternate timeline, grows old and gives Sam his shield because he decided everything in his original TL can do without him? He basically gives the finger to his, erm, responsibilities in the unwritten future of his own TL? Ok. Maybe those sessions he had in his TL did change something, and he moved on. But maybe that just baloney blarney, blimey.
ETA: according to the words of TSS/TSA and Professor Hulk, shouldn’t those TL just collapse after he did his job?