Depends on how you define "same."

you basically ripped apart a ship and threw it away, then built a replica in it's place

Maybe...?

Ah, yes, the Theseus Ship Question. It's been around since Ancient Greece. Percy Jackson knowledge go brrr

Great question ! I think yes but only if it happened over time and the original character was maintained.

same model yes same ship no

Some will be still, and some will be weak sometimes.