I've not read all 9 pages of responses so someone may have already said this ...
I am disabled and on ESA (a legacy benefit that pre-dates UC) and PIP, as part of my weekly benefit amount, the DWP pays my Council Tax direct, so I know it gets paid but don't have to pay it from my available cash as such.
My understanding (from a couple of people I know who are on UC) is that they get their CT paid too but it's given to them to pay to the council.
Now, this £150 will be passed on to UC claimants because they'll see a reduction in what they have to pay for the 22/23 year, but those of us on legacy benefits won't see that reduction, the DWP will beneefit from it.
Also, another thorn in my side is that UC claimants last year got that temporary £20/week uplift in their payments, those of us on legacy benefits didn't and many of us actually get less than those on UC (especially as some of them are able to, and do, work). Someone on Twitter suggested that legacy claimants can apply to be moved onto UC and therefore not miss out on payments like this, I would say, who, on benefits (and maybe even those with jobs), has 5 or 6 weeks worth of cash sitting around, available to tide them over until their first UC payment comes in? Yes, they say you can have a loan but that still has to be paid back and when you've gone 5 or 6 weeks with no money how on earth can you pay back a loan?
So yes, there may also be people living in CT band E and above properties who don't have a lot of cash but they do at least have far more valuable houses and if they can't afford the CT on them, they do at least have the option to move into somewhere cheaper.