Right, and where do the renters live? Someone needs to own the houses. Not every renter is on the cusp of buying.
If you make houses more expensive for landlords and don’t introduce some other source of housing, at best it’ll be a wash: lower prices for houses but extra taxes meaning landlords charge more or less the same rent. Or maybe prices won’t move much but landlords will charge more rent to cover their higher costs.
We are not at risk of an abundance of empty housing with nobody to live in it.
You lower prices by reducing competition from landlords, then more people who rent will buy. There's a long way to go before you get to the point of people who don't want to buy a house feeling forced to do so because they can't find a rental.
I don't know the name of the logical fallacy, but the argument you're making is imaging a far away extreme situation being undesirable and using that to justify not making moderate changes.
If you make houses more expensive for landlords and don’t introduce some other source of housing, at best it’ll be a wash: lower prices for houses but extra taxes meaning landlords charge more or less the same rent. Or maybe prices won’t move much but landlords will charge more rent to cover their higher costs.