Yes? Who says otherwise?

As long as accommodation isn't 100% of your basket of goods and services you use to measure inflation, accommodation can rise in price faster (or slower) than the basket. This ain't exactly rocket science.

If the mandatory basket item expense raises, it should also become a larger portion of basket, as the basket is supposed to measure the cost of living. So either CPI is not properly measuring the cost of living, or there isn't an affordability crisis.

You cannot have rising inflation adjusted wages and worse spending power, unless the inflation is not being measured meaningfully.