The reason they give to some people for the popping in their 3ch Recto / RK / Roadster is ridiculous... static build-up?? They're full of crap... here's why...
When the amp's channel select switch is on footswitch mode and the amp is powered on, notice how none of the channel LEDs on the amp/footswitch light up until one of the channels is selected. That means that none of the channel selection relays are turn on. Bearing that in mind, the muting circuit only comes into action when the relays are turning off. So the first time you turn the amp on none of the channels are selected so the relays associated with them aren't on to begin with, and so switching to another channel doesn't turn any relays off and so doesn't trigger the muting circuit. Simply put, one of the channels needs to be selected first before the relay muting kicks in. It's got NOTHING to do with static buildup. They could've easily rectified this by adding a circuit that selects one of the channels when you first power it up.
Consistent popping whilst switching is something else. There are lots of other amps that are packed with relays; Peavey have been stuffing their amps with relays for years, the 5150 is dead quiet. Diezels, Marshalls, Bogner and VHTs all use relays, yet no pops.
Here's how the switching sequence works: when the channel selection is made, some relays are turned off and others on. The relays turning on remakes the circuit continuity almost instantaneously and generates a sudden increase in the signal level, which when amplified is heard as a pop. In the relays which turn off, the collapsing voltage across the coil generates a voltage spike, which triggers an RC timing circuit. The RC circuit turns on muting transistors which drive the signal to ground with J175 FETs, and so suppressing the sudden spike in the audio signal.
Ideally going 'switch+pop+mute' to 'unmute' is supposed to take 10-30ms, depending on the switching speed of the relays, with 30ms being the norm with most manufacturers. It could be that this time period has been set too short. Or like Boogiebabiez said, the FETs are misbehaving. I think it's most likely the former.
Solutions
Increase the RC time constant. The RK/Roadster and Recto have R=100k and C=.1u, giving a mute of 10ms. Increasing this to ~20ms more might work, with setting C=.22u. Downside is that the muted gap in the signal will become more obvious.
Replace FETs with better quality ones. There's at least a dozen of them in the RK.
Or live with it?