Sorry about that - I thought I saw RA-1 in your OP, I was mistaken. The issue with the RS-1 remains the same. You will likely notice a difference since the signal is cleaned up quite a lot in absolute terms: How much of a difference - due to the entertaining, yet qualitatively compromised front-end - is the point I can't really tell you.
Personally, before I moved up to the likes of the Omegas and Orpheus I much preferred the HD650 and some of the AKG's as a genuine listening phone - and with these, changes with the back-end as your proposed example would be noticeable. As ever (especially in audio) YMMV. To recap it will be definitely an improvement, but the level to which you will notice it is debatable.