Vilas, on our A 320 fleet, we do get an Ecam warning:" F/CTL PITCH TRIM/MCDU/CG DISAGREE" if the real pitch trim value and the pitch trim value entered in the MCDU are not the same.
I had once this warning after engine start as I inadvertently inserted 5UP instead of 0.5UP in the MCDU.
I guess this feature is optional as before we had this only on the brand new aircraft and now it's installed in the whole fleet.
Reference from the FCOM here-->
https://ibb.co/dWMWNc