The Americans called it an "Armoured Cavalry Regiment" (11 ACR, 2 ACR in the 80's/90's). The idea is not new, it more a question of "Could the British Army make it work without adding in pedestrian infantry ?"Forget current platforms and organisations if you want effectiveness at some point in the future, preferably sooner rather than too late.
As I understand it the army's commitment to NATO is a single armoured brigade somewhere in Europe?
We have the people and equipment to do that right now, but because it would result in mass redundancies in the officer posts, it doesn't happen.
Let's instead imagine our fantasy armoured brigade:
3, preferably 4, tank battalions, each with an organic infantry company, an organic artillery battery, a field workshop, a supply platoon, medical platoon, MPs and whatever else.
Collect the equipment and crews in one place, then weed out what's unnecessary.
Forget cap badges and arms of service, from now on this entire brigade sized formation will be known as, say, 1st Dragoons. A single chain of command, a single badge, a single HQ for both command and administration.
That saves, or gets rid of, a handful of battalion hqs, a similar handful of disparate qm departments, and the supposed flexibility of organisation to task is down to the brigadier in charge.
If you really, really must keep light infantry, put them somewhere else to do the follow up stuff like holding PoWs or aiding civpop.