Tax credit for mortgage interest encourages speculative investment in the housing market. Tax credit for credit card debt encourages consumer economic activity.
maybe you rent, but renters DGAF about the local community the way that homeowners do.
home (property) taxes also fund a lot local services, schools, etc. you want prices higher and stable, and not dominated too heavily by mega-corps that will weasel out of paying said taxes.
Renters absolutely care about the local community.