I think this thread is sprawling from the original Belt Mystery – next instalment will examine the tailstock!
Going right back to the original photoes, and looking at some of the replies, it seems to me Sonic has not changed any components, just slipped up somewhere in re-assembing it, so does not need worry about relacement belts and raising blocks.
I thought the pad might not affect things but to be sure, I would:
1) Take that anti-vibration pad out – go back to as-was.
2) Put the motor on the studs, lightly tighten the nuts so the motor contacts the bed.
3) The tensioner: Repainting has lost any obvious witness marks there may have been in the original paint, but if the new paint is simply over the original there might be very slight ridges just detectable by finger-touch or different lighting angles. Worth looking to help verify the tensioner’s orientation.
It seems on this lathe, the tensioner swings on the right-hand screw, and is clamped by the left-hand screw in the slot. The first photo shows still some adjustment possible. So refit it that way round.
The diagrams showing opposite-hand orientation may be for other versions of the lathe. I suppose a former owner might have fitted an over-length belt, but since no parts have been changed here it should still go back together as it was!
4) Slip the belt back on the pulleys and establish if it will now tension properly.
5) If it still needs more even with the adjuster at full slot-end, try adjusting the motor retaining nuts, without taking them beyond flush ends.
If this combination of moves looks hopeful, were there any spacers, perhaps just large-diameter washers, on the studs to help place the motor as it needs?
As for the resilient pad, I can see its aim but I am not sure if it is a good idea. It might not be very effective but worse, might distort under the belt pull, and put the motor and driven shaft out of parallel.