For the last time, taxpayers are not purchasers. Taxes don't buy you anything, whether services or roads. You therefore aren't "paying for" council services through council tax, the vast majority of which are funded by other public revenue streams anyway.
So what are those other public revenue streams that do purchase services on behalf of everybody if they aren't taxes?
people without assets are paying more tax.
Who says that taxes are only levied on assets? Income tax isn't as people on PAYE have to pay tax on their monthly earnings before they even see the remainder of their monthly income (most or all of which still won't become an appreciating asset). VAT isn't levied on assets. NI is another form of tax and that isn't levied on assets.
If you believe that non-homeowners shouldn't have to pay towards having their personal/family waste taken away, their children educated and the local roads that they travel on repaired, you might as well say that they shouldn't have to pay the hairdresser for a haircut or IKEA for a bookcase or Tesco for their food.
Yes, rents can be very expensive and I completely understand how infuriating it is to be paying MORE each month in 'dead money' than you would for a monthly mortgage payment towards actually owning your own property, if only you could get a deposit and a mortgage - but that's just how life is, sadly.
Just because you don't own a house doesn't mean that those who do own their own homes (or are paying mortgages towards them) should pick up the bill for everybody's daily living costs. That's kind of infantilising towards renters to suggest that they should.