I think there is no difference between imputed rent and forced market rent . In the end it serves the same purpose
Imputed rent is in fact based on market rent with a lag. This would be changed on periodic basis
Transfer pricing is a good example. There is a big risk that the used prices are completely different to market prices or to what market prices would be if the market would be open. Forced prices are not market prices, market prices are set by the market, not by the taxman or a politician.
But that is a bit off topic.