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The compressor (Black football) would get warm as its being fed electricity for when it's normally running. But it needs the relay to switch contacts over to start the motor first. Otherwise the motor is stationary, drawing current and overheating.
It's still possible that the compressor pump has seized, so the motor can't turn, but way rarer than the PTC/starter giving up.
From your vud, this may have been the Pt number on your comp. Take off the white bit, and get a Pt number for that.
https://www.bekospares.co.uk/fridge-freezer/compressor-jiaxipera-tg1114y-r600a/product.pl?pid=5009704&path=110911&refine=compressor
user69121-
Does the current for the compressor not go via the relay though? So if it's getting warm, suggests it's the pump motor, rather than the relay at fault. Sorry if I'm misunderstanding how it works. This thread sounds like the same thing
I got the relay off, it's this one. Is there any way to tell if it is the cause before ordering the replacement?
Polygon
The compressor is still getting warm (as I assume it should) but the radiator up the back of the fridge not at all. I don't know if this confirms what you say about it being seized does it?