Is it necessary to transfer Thai visa stamps when renewing a US passport?

A quick question about renewing passports and transferring stamps...

If a US citizen currently holding an extension of stay (original visa was non-imm dependent status) and re-entry permit, both valid until 30 June 2023, travels back to the US on their old passport and renews while in the US, is it necessary to send the old and new passport to the Royal Thai Embassy in the US to have the stamps transferred? Or can said traveller simply present both passports upon reentry at Suvarnabhumi and be stamped back into the country in the new passport? I know the option to renew via the US embassy and transfer stamps at our local immigration office exists, but due to imminent travels, I'm concerned that we might not get the new passport back in time.