I don't want a fancy explanation of how it works, I would like to know the name of a single brokerage that offers this product because as I said, I don't think it exists as it is frankly a pretty basic violation.
I did end up finding the specific agreement - it pertains to Australian retail clients (https://gdcdyn.interactivebrokers.com/Universal/servlet/Regi...), and clauses 3 and 7 lay out that retail clients are not liable for a negative balance arising from a margin liquidation. Retail clients for Australia have pretty limited margin (25 or 50k iirc), so this isn't super high risk for most people regardless (can't lose that much money).
The other stuff I talk about arises from other products in Australia as well - it's possible to borrow money and buy shares without being exposed to margin calls, so long as you make repayments on the loan. It's pretty different to a traditional margin account though, and only really applies to ETFs (NAB Equity Builder). I also imagined that existed elsewhere, but really I'm only speaking from what I've seen available in Australia.
Clause 3.A.e specifically states that trading on margin can result in a loss of funds greater than that deposited into your account and that you accept that risk.
In conjunction with Clause 7.K which states that you must reimburse the broker for any liabilities as a result of the liquidation undertaken by the broker.
You are always on the hook for the full amount of losses on margin.
The point is it's not cut and dry that the market geared equity solution is superior (though, IMO, the individual advantage lays on the side of things without margin calls, but full recourse - you can ride through a downturn without being forced to sell, assuming you keep your job and other risks etc etc).
Those single stock ETFs are significantly more limited than full-market geared funds (1.5x rather than more typical 2-3x). Equity geared ETFs are definitely just straight up more convenient (and safer) for the vast majority of people and situations though, I agree with you on that.