I think the issues come as you break down the batches. Locally they were ok with using Pfizer for bigger carehomes, but for the smaller ones (and the elderly/vulnerable housebound) the process was too difficult - too labour intensive and too much wastage.
If you look at:
https://www.gov.uk/government/publi...fessionals-on-pfizerbiontech-covid-19-vaccine
You can get an idea of what happens as you start to get down to the vial level. One defrosted vial contains 6 doses, but can't be transported again once diluted. So final preparation has to be done on location.
That makes each visit quite a long one and they have to discard any unused doses. Not impossible to manage but expensive on manpower and lost doses.
Hence the difficulty with smaller residential units and the housebound. The vaccination centres that the GPs (and now pharmacies) have set up are working more like production lines.
The AZ is much closer to the "put a bunch of them in a briefcase in the morning and start driving around" pattern they'd follow with flu jabs.