The only sane way I can map the problem in question onto your analogy is by subletting rent controlled units, thereby increasing their value and decreasing the value of the uncontrolled unit. I don’t think it’s a good analogy because people have all sorts of subjective bias based on experience. Also real estate is inherently sparse and illiquid. The drug market isn’t sparse and has more liquidity.

I think explaining the economic dynamics directly leads to a self evident conclusion: internationally drug prices would increase as US consumers add to demand on foreign markets. Domestic prices would fall for the same reason