True, but property owners pay property tax, which is a big part of where city revenue comes from. Allowing renters to vote on how the money is spent creates the same issue described in the grandparent post.
Money is fungible. Renters have skin in the game, because they paid tax (and because they live in the general society that those tax dollars are being used on). That they paid no property tax is not relevant, because it ceases to become "property tax" as soon as it's paid, and just enters a larger general pool.
People may have differing levels of skin in the game, but it's no more sensible to say that property tax should only be spent on things property owners want than it is to say that property tax paid by people named Dave should only be spent on things that The Council of The Daves want it to be spent on.
It's relevant for the same reason that it's relevant who pays a hospital bill. The person actually making the payment will be sensitive in ways that a pure beneficiary will not be.
You had a reasonable point, till you veered off into fantasy land that renters aren't just as much in the game if not more so. If anything landowners are generally the problem and renters are the majority population.