In answer to the original question, no, Linux in any flavor or varity I've tried doesn't in any way feel like an Amiga. This is purely subjective. The only OSes that have a feel like an Amiga that I've tried are OS/2 Warp 3, 4 and 4.5. Once again purely subjective but OS/2 used the Rexx scripting language which on the Amiga was ARexx. It also had really good multitasking which extended to DOS and Windows 3.1 applications that weren't designed to multitask.
Amiga OS isn't a direct derivative of UNIX but UNIX multitasking and a few other things had an influence on Amiga OS. UNIX and Linux have some serious multi user security features like file permissions that don't exist in Amiga OS. Classic Amiga OS has no user accounts. There's no logon. No file permissions. There is multitasking and a really good file system once you know how to use it. The GUI is a bit eccentric but very efficient. Compared to Linux, it is far simpler but it does what it was designed for very well.