Here's what I've found: There is a weird "sweep" (or tone suck) on the Bogner from 0 to between 3-4 on the drive setting. I had it down to 2 for Clean, 4.6 for drive, 6.2 for Lead with the Tube Screamer on. There is an audible click or pop when you turn the pedal on in any snapshot. And the pop (or possibly tone suck from the drive) changing from Clean to Drive. So I tried Clean with the drive higher and my volume knob rolled back. Better, but still noticeable. I swapped the Screamer for the Heir Apparent and the click and noise from Drive to Lead disappeared.
Your pre didn't change the drive setting for most snaps and nothing bad on the one that did. And I heard no audible change engaging the 808 anywhere on your preset. So I created another one with just the Bogner, cab, and an 808. Click city. AND when you open 808 Click preset, the gain is weird until you move the drive setting down and then it, like, hits its proper level? Your preset was also much quieter than mine.
Try them and let me know what happens. I'm submitting a ticket.
ETA: I do understand that the amp is high-gain and I may just be beating a dead horse and need to go a different route. Just interesting that I found these issues while playing around.
Bogner Test.hsp 808 Click.hsp