Of course not using staff travel is an answer for the individual, but if the regulator changes the ground rules.
As occurred in the wake of the Colgan air accident commuting was of great concern to the NTSB.
A key recommendation of CAO48.1 is that rest periods be in accommodation. The notion that a minimum rest period commenced at parking the brakes plus 15 or 30 mins was to cease. Sleep opportunity had renewed focus, not mere lip service to 'rest'. Readers may be surprised to learn that airlines opposed it on commercial grounds!
Thus it may be that British Airways are concerned that commuting is a concern, they may be responding to the UK CAA having concerns too.
Whilst focusing on commuters using staff travel may be a first step, driving commutes on minimum rest have to take into account the reality that most pilots have to live a long way away form the capital cities, be it in London or Sydney to afford suitable accommodation.
There are plenty of BA crew commuting up from Southhampton or Portsmouth. It is a big day on the M3 and M25 to get to Heathrow!