Thanks for the comments chaps.
I think I may have misguided myself by not testing everything the same way when I had the opportunity to. It didn't occur to me at the time but hindsight is brilliant as they say.
It turns out that both the FETs I received in the amplifiers and the one I deliberately blew up are short between all pins but to varying degrees, which gave some strange looking results on the meter in diode mode, when compared with the next device.
For example, one of the FETs from the amplifiers gives the following in diode mode:
30 mV G-S
30 mV S-G
501 mV S-D
1192 mV D-S
555 mV G-D
1202 mV D-G
However, when I put this FET on a power supply, it will happily draw as much current as you can give it S-D or D-S, and will draw about 600 mA S-G, G-S at 10 V.
For comparison, the one I blew up deliberately, shows:
102 mV G-S
103 mV S-G
22 mV S-D
23 mV D-S
124 mV G-D
125 mV D-G
This FET will again draw as much current as you can throw at it between D-S or S-D, but will draw only 250 mA S-G, G-S at 10 V.
Magic, your suggestion to test the body diode is what tipped me towards sticking the devices on a power supply and just brute force them G-S to see what is shorted and what isn't, at an arbitrary 10-ish V. I had done this D-S before but for some reason didn't think to do it between all pins.
Thanks everyone for your input, I really appreciate it. I think the conclusion then is overheating.