Replacing external SSD with a larger SSD

I need to replace my 1TB Samsung t7 with a 4TB version. The drive is used to store sound samples which are used by Cubase and Logic Pro.

If I simply copy the files and them name the new drive the same as the old one will the computer 'know' it is a different drive and mess up my file pathways? I would like to avoid this if possible!

Alternatively, would cloning the first drive using Disc Utility Restore function solve this issue?