I wonder how authentic the hat must be after restoration? And how exactly restoration is done ? It seems restoration had to be funded so must be some elaborate process.
Now, felt can be reshaped easily with steam-level heat - but that would require a conscious effort.
Aren’t all “teams” “of Theseus”? If the team remains in one city for say, 60 years, the people have changed over and over again. The stadium is probably different.