Earlier quoted context omitted.
Sure. Let's fix a housing crisis by completely breaking up laws, society and order.
It's not uncommon for cities to pas laws that aim at the reduction of unoccupied spaces amid housing crisis. Actually, most European capitals do this either by raising taxes on empty housing or by partially legalizing squatting. Londongrad is an exception to what is otherwise a rule.
Of course you may argue that the difference is small in relation to multi-million pounds properties, but that is a more general issue with the council tax's range.