Question for Air traffic controllers

[Citation2]

The airbus is equipped with a runway track mode which gives lateral guidance on the track the aircraft was flying at mode engagement ( 30ft) during take off.

In other terms , the runway track mode allows the aircraft to maintain the runway centerline .

My question is when instruced by ATC to maintain runway heading after take off , do you expect the pilots to maintain the runway centerline once airborne ? in that case airbus "Runway Track " mode would be very useful as it would allow to maintain the runway axis ?

Or do you expect the pilots just to maintain heading ? in that case a strong crosswind would drift the aircraft from the centerline and could end up totally flying a heading parallel to the runway

Thanks for clarification