No, leave the GE 12ax7's as they should be good and long lasting.
The single (center?) 12au7 is the one I would experiment with as it should have the most affect on sound and then perhaps experiment with the 2 12au7 drivers if not satisfied.
I do not have a problem with 12au7 tubes and have been using them in gain positions for 20+ years in my preamp and in vintage power and integrated amps.
I've yet to listen to an amp using 6SN7's that I've cared for and the same goes for Audio Research and BAT amps using the "super" tube - so each to their own.
Look for a single well testing Mullard, Amperex or RCA 12au7 with balanced sections (it need not be a super duper expensive version or be NOS - just avoid the later dimpled disc getter Amperex as I previously noted).
DeKay