So, they are saying that there is a better connection from LGW-DXB-xxx? I'd ask them to give you details of the connection so that you can book it!
Or are they saying that there is a better connection LON-DXB-xxx (where LON = LHR/LGW)?
If it's the latter, then how long before that start including BHX/MAN into the equation? Surely it should be the shortest connection from the booked airport, not the booked city?
Cheers,
Rick