I don't intend to re-open the discussion about the definition of "an installation", but ....Only if you deliberately decide to make it a snag by deliberately classifying two separate CUs and their two totally unrelated sets of final circuits as a single installation.
In this case, it surely has a lot more to do with safety and common sense than having anything to do with semantics, definitions or regulations? In an emergency (and maybe 'a panic'), it makes sense for a householder to know that there is a single switch will will shut down 'everything electrical' in his/her house (regardless of 'the number of installations'), rather than having to think about which one to use (assuming that they actually know/realise that there is more than one), doesn't it??....Avoiding that perversity and classifying what you have as two assemblies of associated electrical equipment having co-ordinated characteristics to fulfil specific purposes means that you don't need an isolator before the CUs.
Kind Regards, John