Loafing Lounge

It almost sounds like a delay pedal if that’s what you mean by the output’s “cyclic nature”. I only had about 2 minute to play through it and it really only sounds best the first 25% of the sweep or so. I’ll have more time with it tomorrow. Is there a way to tame the repeats? Also, what is the purpose of R9 and R10? Just to dampen the output a touch?
It is a delay pedal, with really short delay. It has three PT2399s inside. They are arranged to feed back on each other to create dozens of reflections.

There is not a way to adjust the repeats with the BTDR-2 brick. It is sold with the repeats preset at the factory to Short, Medium or Long. You have M version. If you want adjustable repeats, then you need the BTDR-3.

These bricks have two outputs that can be used individually, mixed, or as stereo output. The two outputs come from different places in the delay chain. R9 & R10 mix the two outputs in your circuit. The reverb is slightly less "dense" if you use only one of the outputs.

Some pedal circuits, such as the EQD Levitation, add an additional feedback path around the Brick to increase the dwell or "ambience."

There is an LFO inside the Brick that dithers the clock on one of the PT2399s to create a less "sterile" sound. Unfortunately, once you notice the cyclic dither, you can't unhear it. I found it to be too irritating and so I designed my own PT2399-based reverb.
So, after playing the rub a dub for about an hour I do think I hear the cyclical piece to it. It almost sounds like modulation and I noticed it playing toward the neck pickup mostly. Now I can’t unhear it. If that’s the nature of the brick then so be it.