gar,
I think it is 1/2 wave.
I think that the 2'nd diode, on your drawing, (B+ to ground) is not a rec. diode, but it's a zener diode being used as a voltage reg? Cheap way to limit the voltage for the relay.
First off, I think the Mesa schemo is wrong. It might be a typo or it might have been done on purpose to confuse copy cats? Mesa has been funny this way.
The Mesa schemo shows the the 1'st diode across the 2 heater legs, which I can't see as being right. Then the 2'nd 22uF cap is after the relay, (your's doesn't show it) I don't know why they would do that. I would think it would go right before the relay. The way it's drawn, when you step on the FSW that would short the B+ end of the 22uF cap to ground.
If it was realy before the relay, then the 2'nd cap might not be needed for the relay to function properly all the time. It will smooth out the ripple a little more on the relay B+. Mesa might have decided at some point it was not necessary, so out it goes. Save a little $$ parts and time.
OTOH, it would be interesting to know where that 2'nd 22uF cap was placed, was it close to the relay? If so, they might have placed it there as a little B+dc reserve for the relay?
Since your not building dozens/hundreds of units/amps you can leave it in. I think it can only help.