I had the same thoughts. The systems would be totally independent so why are Octopus bothered? We've had it installed for 3 years now with no complaints. The only reason I can think is that as the external unit and heat pump will be located on the same wall, Octopus want permission for the existing AC inverter. It seems quite muddied though as we're not in a conservation area, the building isn't listed, it's not near a neighbours boundary and it's pretty much silent when running. There's no reason it shouldn't be fine, but I'm hesitant to start the process as we need the air con more than a heat pump when it's replacing a working combi boiler.How long has it been installed?
Why does it matter to Octopus?
If you've had no complaints, and there's no reason you can't have it, then it shouldn't be a problem gaining retrospective permission.
Octopus say they can go through it and apply for retrospective permission, but in reality they won't have any interest in keeping the air con as long as the heat pump is OK.