The trouble is more likely Q111 not U111. U111 is just the output stage of the compound amplifier. The main properties like offset, noise, input bias are set by the JFETs Q111. At low frequencies U111 amplifies the signal between pins 5 and 6 by a large factor, so it is normal to see noise a lot more at pin 7. Pin 5 and 6 should be very close to each others and a common signal there only shows how much the current from the current source around Q114 is fluctuating. So not visible fluctuation at pins 5 and 6 are good, but no surprise.
The U440 looks like having quite a lot of 1/f noise, though likely still acceptable. The 2N5565 looks better. However this is still a HF type FET - so it might work, but could show similar popcorn noise as the old ones.
As the modern replacements are usually 2 dies, one could also try two separate, matched audio JFETs like sk30, SK117 or SK170. One might need to test a few to find reasonable U_GS matching so the RV113 has enough trimming range.