As a broad rule of thumb it cn do, but with the increasing ratings you can sometimes end up over providing this way, who would have thought you would routinely get 55B rated 2 kilo CO2 extinguishers or 27A rated 6 litre foams.
Of course it could be argued that ratings in general cover are irrelevant as they refer to professional trained users in a controlled environment and in most real life cases you wouldn't want your minimally trained staff attacking anything larger than a Waste bin or PC monitor and that in real life suitability for risk & travel distance is more important than an arbitrary rating in general terms - of course special hazards would be more reliant on ratings
With regard to requirements on the landlord remember the letter of the law:
"Where necessary (whether due to the features of the premises, the activity carried on there, any hazard present or any other relevant circumstances) in order to safeguard the safety of relevant persons, the responsible person must ensure that—
(a) the premises are, to the extent that it is appropriate, equipped with appropriate fire-fighting equipment"
Note - 'Where necessary' & 'to safeguard safety' If your flats common areas are virtually free of combustibles and as importantly realistic ignition sources why provide an extinguisher? For a fire in the flats it isn't safeguarding safety for the occupier to safely escape onto the landing, pick up an extinguisher & go back into the blazing flat.
It's not always necessary for PFE - in 99% of cases yes, but not all. Imagine every flat block in the UK having to have extinguishers (I'd love that contract though - not only the millions in initial supply, but regular recharging & replacement in the less salubrious flat blocks)