Yes certainly subtle.
I imagine that you might find the 62 better than the 32 at present (if not you should certainly service the 62 - I'm no fan of those SLCE axial caps). The reason is actually pretty obvious in that it isn't bloated by loads of additional circuitry you don't need (tape output buffers plus extra phono boards), all of which place a load on the PSU. The situation doesn't reverse if you upgrade to a Hicap since the actual circuitry in the 32.5 and 62 is the same unless you can find a 32.5 with the upgraded 729 time aligned input buffer from the 72 (these are not common since it actually makes only a small difference).
Amongst my collection of things I have (and fairly regularly use for extended periods) is a very early extruded case 42 (before the black beauty pot and metal film resistors) which I've modified to run on four rails. In terms of sound quality it's in the same territory as a maxed out and superlinked 82. Possibly slightly less revealing and less bass but slightly more "bounce" to the sound.
You'll get a lot more out of increasing the number of PSU rails to the 62 than going up the preamp chain and it's actually easier to work with the one board preamps than the ones with plug in cards for that purpose.