Property taxes typically are collected to pay for the schools (which typically receive the lion-share of the amount collected), roads, police/fire, etc. IMHO, the homeowners should carry a larger portion of the property taxes, and it sounds like Prop 13 at least has got that part right. However, Prop 13 also screws investors (especially non-local ones [hoping to not hijack this post I'll reserve those comments for a future post]). That situation worsens when rent control enters the picture.
Besides taxes, some other burdens of home-ownership are the following: dealing with excessively petty code-enforcement officials (more on this later), dealing with HOA mafia-like leadership, fighting eminent-domain issues, dealing with property line disputes, etc.
Several years ago in Bedford (a suburb of Cleveland), a man was jailed for 30 days for letting his grass grow an inch to high. The irony was that he had actually complied with the order to cut his grass, and the inspector who had cited him actually had a rental property where the grass was far more overgrown. The city was embarrassed when he got a local news crew to go out and film both properties; however, that inspector never ended up serving any time. This is yet another example of an inequity resulting from the burden of home-ownership.
HOAs can fine an owner for not cutting one's lawn or fixing one's windows, but an owner can't also fine the HOA for any deferred maintenance. HOAs can foreclose on a property if an owner doesn't pay the dues, but an owner has no reciprocity if the HOA doesn't live up to it's end of the agreement. Even worse, HOAs can require owners who already paid their dues to pay "special assessments" to cover the unpaid dues for other owners. These are all other examples of inequalities resulting from the burden of home-ownership.
One of my relatives got cited for having overgrown trees a few years ago, and was order to trim them. The irony was, although the overgrowth of that tree hanged on my relative's side of the property line, the tree itself was on the neighbor's property. Plus, the law on the books required the neighbor to trim that tree on his property. Yet, my relative was STILL forced to trim the tree anyway. (I think the neighbor might have obtained a constructive easement for this.) This is yet another example of the inequality resulting from the burden of home-ownership.