This
pdf document gives the rated torque figures for these gearboxs with some slight differences to previously quoted figures.
C514 147 Nm 5-6 speed
C510 206 Nm 5 speed
M32 320 Nm
From memory the quoted figure for the C514
R was 190Nm and it was possibly developed by Fiat (re-enforced C514 hence the R) since the C510 wouldn't fit into the Panda / 500 because of space (as you have already highlighted). This gearbox is being used in the newer models like the MJ II - the 95bhp and possibly the newer Twin Air with 105hp (103bhp).
The Punto seems to take the C510 so that's rated for 190Nm. It is also a heavier gearbox than the C514 and is labelled 'heavy duty'.
Clutch is 'weak' on the MJ I in the 500/Panda so that probably 'saves' the gearbox. Uprating it could spell trouble.
The C510 is used in the A500 and AFAIK it originally came from the Alfa 147. My OH had a 147 1.6 petrol and the gearbox felt very similar to the one in the A500. Can't comment on the Punto.
M32 is from GM and it is probably the one gearbox where it does not have the 'tolerance' in relation to its quoted ratings.
C510 gearbox seems to be able to take quite a bit of abuse and the esseesse model pushs out 230Nm-238Nm which is beyond the 206Nm quoted figure (some sites quote 201Nm).
Your figure of 170-180Nm for the C514 is possibly OK.