I would sincerely hope so, given that your only motivation for this request is your dislike to the LH lounge! What kind of sense of entitlement leads you to think that a) the airline should pay the LHR operators for your preference to be shuttled around the terminal at your convenience (as opposed to need!), and b) to potentially deprive passengers in genuine need of this service?

Just because you feel you cannot overcome the walk to your preferred lounge and back (but medium distance, whatever that is, is ok), please do not make it other people’s problems.

If your flight left from B gates and you cannot walk by yourself, that is obviously a different story - but given the nature of the question raised, I suspect that was not in consideration.