It says in the short form 170C, and they reach this at full current then drop a little as they lower in resistance. Mount in a location on a tag strip such that is is in free air away from anything it can cook. I did a lifetime buy of 3 and 4 position tag strips a while ago, still have around 100 left. You use a single position as the ground and the mounting, and then use the other 2 to solder the device and the power leads.
Yes, hmm. They have it on a 16A "B" breaker so we need to keep inrush < 48A - your 5ohm suggestion was spot on

Farnell do an EPCOS 5ohm NTC for inrush suppression rated at 6.4A. The
data-sheet says it has standard R/T curve 1207, a max power dissipation of 3.9W and a 20mW/K thermal resistance in air.
I found a document with all the standard curves
here, very useful.
That says for curve 1207 at 170
oC the multiplier compared with the resistance at 25
oC is 0.03670 or 0.1835ohms.
If we assume that the PSU takes 5A fully loaded that makes the effective impedance of the transformer primary 48ohms (I'm assuming a realistic 240V in the UK rather than notional 230V), adding the NTC resistance at 170
oC gives 48.1835 ohms or 4.98A - I
2R gives 4.55W
That's over the max power, and at 20mW/K gives a 227.5
oC rise (not forgetting that's over ambient which could easily be 40
oC inside the case).
So that one will hit equilibrium somewhere well north of 175
oC and probably fry itself at full output, or try to desolder itself or both.
Back to the drawing board, possible the 4ohm 9A one will stay the right side of 175 degrees although the inrush might still be a bit high. I think I need to find something with a higher power dissipation and/or a higher beta - perhaps closer to 4000K
Ah, there's a higher power EPCOS one on Mouser - S364 series - 5ohm, 8.5A but they give the graphs rather than reference the standard curves. Will stare at the datasheet tomorrow.
However I'm still looking at something running close to 175
oC so I'm going to have to crimp it or use high temperature solder, plus high temp sleeving and find something suitable to mount it on and somewhere with at least a couple of cm clearance on all sides which is going to be a little tricky.
Well, I've offered it as a solution but I'm not sure I'll pull it off if they want me to go down that route.