Seen in that light, BI provides the opportunity for a whole new economic policy lever, by channeling new money to people rather than banks.
It's not the mechanism, it's the scale of it.
This is not an apples-to-apples comparison since QE (so far) has been "sterilized" so as not to increase the money supply in the same way as you are suggesting BI would:
"Also, the Federal Reserve has mostly "sterilized" its bond purchases by paying interest to banks for reserve deposits. This removes money from circulation previously added by the Fed's bond purchases. The net effect is to raise bond prices, lowering borrowing rates for mortgages and other loans, without an inflationary increase in the money supply"[1]
They will be different for BI, naturally.
Excuse me being naive but why? It would be a unique situation and as such any predictions of what's gonna happen are purely hypothetical.
Your last point is kind of moot as it could be used to argue against any kind of wage or income increase for poor and middle class "They just all gonna spend it paying their landlords".
If the basic income accounts for "average living costs" then ideally the average rent should be calculated too and factored into it, so landlords can't just jack up rents and expect their tenants to "reach through" their UBI.
A UBI would give the poor and middle class at least some bargaining power with employers, that's already progress. The whole situation about affordable living space becoming rarer and protection of tenants are valid concerns, but you can't expect a UBI to fix everything, different issues need different approaches and solutions.
Rent control and protection of tenant rights are ongoing issues, especially in countries where renting is the prevalent mode of living, as such many countries governments are trying plenty of approaches.
The issue with the US being that it's a rather touchy subject to discuss, but its nonetheless relevant because more U.S. households are renting than at any point in the previous 50 years [0]
So a discussion about that particular topic is most certainly needed, but you can't expect UBI to fix every single problem on its own, no solution is ever as simple as that.
[0] http://www.pewresearch.org/fact-tank/2017/07/19/more-u-s-hou...