Nobody is saying to "get rid" of home rentals, but they are saying get rid of landlords.

Particularly for SFR homes, there's no reason for a person who is not living there to 'own' the property and extract rent. For those who are transient -as you described- there are community land trusts, cooperative housing, limited equity housing coops, and municipal housing that can all fill the role that would traditionally be done by private landlords. Those of us who advocate eliminating private home rental's for profit do so knowing it wouldn't happen by choice, and that alternate arrangements for housing would need to be established alongside any legislation that bans for-profit rentals.

Private landlords are systemically problematic because it inflates home values and locks an increasing portion of the population from the option of building equity (or benefiting from community equity, as it were). Nobody is saying you're a bad person, only that landlords (the category of private capital ownership that collects rent for the use of property) are perpetuating a huge problem and ought to be banned as a matter of benefiting society as a whole. Just like how towns or neighborhoods are democratically governed, homes should be too.