Theoretically yes, but in practice the wages of people already not making much have not tracked inflation and there's no reason to believe that they will now. That means any inflation is also a tax on them.

No because assets hold their worth. Poor people have no assets

Isn’t it the opposite? Salaries are sticky while asset prices rise freely with the liquidity of the market for them

> isn’t that sort of a tax on people who have more wealth

Classically, yes, particularly when that wealth is closer to productive capital. In modern economies, the rich also hold a lot of debt, which lets them benefit from inflation.