> If asset prices do not decrease in a rising rate environment, then inflation cannot be controlled

the asset price could remain stable, if the jobs that service those mortgages aren't removed.

Inflation of consumables can be controlled, but it is painful. Inflation of assets should not be controlled, even if it could - asset growth represents the wealth of those who invested in it. If this growth is artificially suppressed, millions would lose their retirement funds, and become poorer in the future, and for what?