I think a 1N3595 low leakage from On Semi (digikey has 1N3595TR on cuttape for 0.24 us cents ea or 10 for 2usd) would be the ideal diode? low forward @10ma (0.65-0.8 ), 150v peak, 1na @125v reverse leakage, not really doing high speed switching to need the 4ns unless I am forgetting something?
With 1nA 150V it would surely seems like a better option.
And I see no other problems with its specs, other then the fact you would need to special order them.
But still I think the 1N4148 is quite good enough for this purpose, especially as you (presumably, like everyone else) already have those lying around.
So it is all your own choice.
And before you value my ideas about all of this: I am only a hobbyist, I am not even sure the OpAmp even needs protection.
The TL072G OpAmp specs do list -0.5V absolute max common voltage, but also -10mA (so reverse) input current.
I just got it in my head that now the sense lines are separate, so I could make the mistake of hooking them up wrong, and I guessed the diode does not make it worse (ignoring the tiny leakage current)
BTW: I did hook up the main current inputs wrong once for a handful of seconds, and it shorted out the CC power supply, but both survived.