I intend to write an entire tl along this very subject line and even have a working title: British Blitzkrieg Gott Survives
Gott was a man much in the same mold as Rommel himself, a desert mechanized warrior. While Montgomery's conservatism and method of battle was well suited to the British army (ie they didn't have a big army and casualties were hard to replace especially as the war dragged on.) It is also argued by many here that his slowness and constant building of overwhelming strength made the war last much longer than it needed to
I see Gott as a far more imaginative and decisive figure and certainly one more likely to take risks than Montgomery ever thought about.
I don't know much about Gott, but if he really was a flashing Blitzkrieg type I'm afraid this could mean disaster for the British.
To utilise a blitzkrieg type of general you need a very swiftly operating army and one very much capable of individual creativity and action - at all levels. The British Army never was that, it rather was a fire spitting steam roller sticking to its plans no matter what the enemy intended, and it anyway did not need taking major risks - since late 41 time was working for the allies.
Monty is just perfect for such an army, but a blitzkrieg type most likely would end up bogged down, cut off and eliminated - and thus risk to politically shortcut the "unlooseable" strategy of just applying your ever growing strength.
Regards
Steffen Redbeard