I've bought some diodes on ebay. Minimum quantity was 10 so I will be able to put them on the positive and negative sides if necessary (ie 4 altogether).
These are the transformers:
Mean Well HLG-150H-12A AC-DC Single output LED driver Mix mode (CV+CC); Output 12Vdc at 12.5A; IP65; cable output; Dimming with Potmeter
www.meanwell-web.com
But if the question of whether I need diodes on the negative lines is related to the specifics of the transformers, then I'd prefer to have a fail-safe arrangement; that is, if I replace one of those PSUs with a different model in the future it'll still work.
The data sheet for the controller says it only wants 20mA by the way, so hardly anything.