Easy,
The Navy has the escorts it needs for a single Task Group with Type 45s already practicing the future role as part of USN CVN task groups. For a single task group, at any one time, the RN has the Type 45s, still very capable Type 23s and Astute class boats plus the support ships being built overseas. Not to mention most Task Groups are multi-national these days anyways, hence why we practice with allied navies so much during Joint Warrior and Cougar exercises/deployments. The BBC does not really know what it's talking about in this instance and there's no point stirring up the inter-service rivalries after the SDSR.
Speaking of what I know, the Fleet Air Arm is not badly off manning wise compared to some and it has been planning the required personnel to man F-35 properly, both air and ground crew, for some time. Utilising the strong links with the USN to train aircrew, engineers and deck handlers seems, so far, to have worked well. The FAA manning system also seems to actually look ahead and takes significantly beter care of it's personnel compared to the deskies at High Wycombe.
I would personally suggest 892 NAS for the next dark blue F-35 squadron. The badge has a lightning bolt and the Motto "Strike Unseen", which seems rather appropriate, and it has the fixed wing (F-4), big deck carrier heritage.