Short answer - in theory the TPMS should work with different wheels and tyres fitted - with certain caveats.
Long answer - As far as I am aware all current (which would include your 2010) TPMS systems pick up differences in rolling diameter using anti-lock brake/dynamic stability control wheel speed sensors. As the tyre pressure drops, the rolling diameter of the tyre changes and there are more revolutions per mile as a result. If one wheel does this more markedly than the other three, the TPMS system flags that wheel.
Passenger TPMS isn't actually monitoring tyre pressure as such, but wheel speed as an indicator
of tyre pressure.
Theoretically the factory system should work with any wheel/tyre combination as long as front and rear rolling diameters are within the allowed tolerance - i.e. if the car was originally set up with the same rolling diameter front and rear, you can't put a wheel and tyre combination on the car that means there is a difference between the front and rear rolling diameter.
Where the system might have a problem with ultra-low profile tyres, is that there is a tolerance before the TPMS 'flags' a wheel. This means the pressure must drop enough that difference between wheel speeds triggers the system. With very low profile tyres this would represent quite a bit more of sidewall height as a percentage, and you could potentially end up with low pressure running damage before the system flags the wheel.
If this is a problem it isn't just a matter of fitting different wheel sensors, but of changing the programming in the vehicle module responsible for the TPMS function (usually the anti-lock braking/dynamic stability control module).
The wheel and tyre manufacturer, or Jaguar, should be able to tell you if this will be an issue with the wheel/tyre combination you want to fit to your specific vehicle.
P.S. Lots of members on here with Jaguars other than/in addition to XJ40s. Hang around, you never know, you might decide you want a '40 too