There's current best weights available. Not alphazero, but I would expect that issues would be general and so if there are issues with leela zero they may transfer and if you don't see issues with leela zero they're unlikely to exist in alpha zero (at least, if they do they may be very particular to subtle training differences).
Would be very interested to see what you find if you get the chance.
I'd prefer to try with a go player, because as you say, in chess it's hard to exactly control the input to the network, it's easier in Go.