I don't think it's bad idea, actually, and yes, the sort of thing you are suggesting for the housing sector could equally be applied to the employment and business/finance sector. I might not go as far as you with it, or come at it from where you're coming from*, but I think the general ideas have merit.
I would say that there are some advantages to not owning (either a home or a business) and that many don't want to, so I'm not sure if ownership specifically (or legislating it away) is the best goal. I'm more agreeing that profits, or if not those then the social benefits of those, should be shared a bit more equitably.
*I can see how the idea of legislating away the ability to own in perpituity is absolutely an appealing one to anyone who is in "fuck you, I haven't got mine" mode.
That's the thing though; I think that two things need to happen, ultimately, to make home ownership accessible, and I think one of those things is actually a capitalistic niche: a mechanism to leak ownership from entrenched parties, and home maintenance services.
If I pay a landlord ~1500 a month for no equity on a property with a 1000/month mortgage behind it, I should be able to pay < 500 a month on top of my 1000 a month mortgage to hire a property management service who will maintain my property. It would effectively be a form of insurance. It would be a form of insurance that would have to fill the gap between homeowners insurance and all the things home owners frequently need: tree removal, occasional landscaping services, HVAC replacement, plumbing maintenance, roof replacement, etc..
or society could fill this issue in a different way, perhaps, by essentially what amounts to building two general funds into real estate properties. One fund would be a repair fund, and the second an improvement fund. Ownership would come to mean vote control over the disposition of the elective improvement fund, and some more legally controlled authority over the maintenance fund (like SNAP restrictions). Once the funds are mature, (essentially, once the property itself is 'mature'), this could very easily then become a mechanism that pushes overage as a percent function to current owners, like a dividend. For fully owner occupied dwellings, this mechanism wouldn't be strictly necessary, though as an owner of my own home I wouldn't mind still having a strict mechanism to escrow those expenses.
Or, people could do one of either of these things. It is the difference between copay insurance and HSA, something we are all already legally required to pay for if it is not already provided for us through our employers (with partwise burdens, no less; ownership could be the needle which decides whether I am paying my money towards the landlord for rent + legally mandated ownership stake, or less rent because I am a % owner after some years and then towards maturing the property).
When it comes to burdens of ownership, this mostly resolves the heavy lifting that makes people "not want to own" when it comes to property.
When it comes to businesses, "not wanting to own" makes no sense, especially in a world where owners have no liability. It is pure equity. I have and never will have any financial burden, for instance, for the stock I am to receive as a function of my new position. It is, from my perspective, merely difficult-to-spend money. For most employees, nothing would change except that they would start to have an entitlement to dividends, and power IFF they chose to execute it. And at some point, the employees would have enough influence to decide who to place on the board.
The only reason to date, in fact, that I have not wanted to "own" business interest is because I utterly refuse to be one of those assholes out there taking value I did not work to produce. I will have to resolve how I dispose of my stock options at some point, and I have no idea how that will go, probably through selling those stocks back to the employees (or just giving a share randomly away to a current employee every time I collect dividends), so that I may be the change I wish to see in the world. I do have another person renting a room in my house, too, but I also charge well below market rate for them to live here, essentially buying away their equity share through foregone rent.
Eventually more of us "rabble" would get experience and exposure in that world, and we would bring what amounts to oversight to that universe which is currently immune to such.
This may be a more appropriate subject for JH's ridiculous socioeconomic equality thread. But it would certainly go a LONG way towards making a more equitable world and bleeding socioeconomic influence uniformly towards those currently without leverage without resorting to communism and eating the rich. I see this as the correction capitalism desperately needs.