If there was a communal kitchen this sounds more like HMO than PB flats? And of course LACORS guidance recommends multi purpose extinguishers in communal areas of an HMO
But the LACORS guide is very, very old now & things have moved on with BS5306-8 frowning on Powder in such a scenario.
You could argue that if you don't provide anything people can't try and put it out......on the other hand you could argue that as a lot of people would try anyway via improvised means it would be better to provide something as they are more likely to succeed...
ABF rated Wet chemicals and Water mists would be potentially of more use in a kitchen that ABC Powder, but in most cases domestically I'd stick to a fire blanket.
If anything this case shows why common area extinguishers are not advisable in purpose built flats - they would potentially have faffed around for more vital minutes running out to the (protected and leading to safety) landing, picking up a inappropriate for the risk large water or foam extinguisher (as is seen where people have blindly installed kit) wasting more time dragging it back in the (probably increasingly smoke filled) flat (no doubt leaving the front FD30 door wide open) to waste another minute working out how to set it off and yet another minute spraying it everywhere.......
The news story is confusing - perhaps someone had (legitimately or otherwise) turned a single occupancy multi bedroom flat in a general needs purpose built block into a HMO?