Other states (see also NC proposed bill to outlaw institutional landlords) have had similar legislative proposals, but I'm not aware of any being passed.
On the state level, Ohio law (Section 5321.19) currently does not permit rent control (emphasis is mine):
(A) Except as provided in division (B) of this section, no political subdivision may enact, adopt,
renew, maintain, enforce, or continue in existence any charter provision, ordinance, resolution, rule, or other measure that is in conflict with this chapter, or that regulates the rights and obligations of parties to a rental agreement that are regulated by this chapter, including, without limitation, by any way imposing or requiring rent control or rent stabilization.
If you read the text of the proposed federal bill, the stop predatory investing act, only future investments would be impacted:
(b) EFFECTIVE DATE. —The amendments made by this section shall apply to property placed in service in taxable years beginning after the date of the enactment of this Act.
Even if these bills pass, which I doubt will happen, I don't see these bills as having a substantial impact on US or state (e.g., NC or OH) real estate overall.