Ah I see! So if I understand correctly, the gain stage preceding the PI is actually considered part of the PI due to the needed gain compensation. It's unfortunate that the FX Loop documentation does not state what the Return level gain is. Going from your answer though, I assume it's probably not enough to drive the PI sufficiently.
To be clear, I have no own experience with the Lumex and the LND loop circuit.
This is the first time I looked at the schematics.
My comment was based on general circuit considerations taking into account the post of carlitz.
Regarding your question, the PI is an essential part of any (tube) push-pull amp.
It's job is to provide opposite phase (or polarity) output signals to drive the output tube(s).
Some PI circuits add gain (like the LTPI or the paraphase), some don't (like the cathodyne).
I wouldn't call the gain stage before the cathodyne part of the PI.
Rather for a total gain comparable to the LTPI the cathodyne needs a preceding gain stage.
Are you using line level effects?
Also don't forget that very low power amps like the Lumex are typically played with more or less power amp clipping which might muddy up time based effects anyway.
IMO it's best to add such effects in the mix.