Granting a tax credit for something encourages that thing. So, from that perspective, I think it makes some sense to grant a tax credit for mortgage interest but not credit card debt.
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.
I wish the tax code had more a more positive slant per your point, but lobbying seems to be a bigger driver.