Well, concededly, I haven't read this thread - I just can't stomach R's drivel (be careful...) - but I've owned your amp in a 2nd system for 30 yrs (LS3/5A 15 ohm based) and just can't believe you'd be tempted to chop around on the internals with some non-manuf tech. It turns my stomach.....and I haven't posted here in 30 yrs.
I do have to say, that 15 yrs ago I almost sold my ATM300B because, while dynamic for an 8W SET, I thought the mids were a bit, um, unsophisticated. That was until I put a matched pair of original Genalex GL B749s in there and it's been singing since....so I know the itch to make it better (other tubes: 1997 WE 300Bs, red letter RCA 12BH7s, c. 1942 RCA rectifier, smooth plate, Silltech Double Crown Ruby PC).
Yes, I know, original GLs don't pop up everyday, but there are options out there (1958 Mullard goal post getters sound quite nice...). Try a nice PC on it (PW Maha Samahdi.....?), as I've found it really responds to PCs.
Jupiter OIPs, whatever....It's not the caps, you'll have to trust me on this.

