Commuting between base and home is NOT Duty Travel.
Duty Travel is where the employer has a requirement for an individual to travel somewhere at its request, expense and direction. Commuting does not fit this criteria.
Let's face it, why should an employer, or Government regulator for that matter, have to worry about making special provision for its staff to get to work. Live where the work is or find another job but don't bang on like spoilt brats about the problems associated with commuting.