You're not wrong, no. Price controls are ABSOLUTELY necessary. Even without basic income, but of course especially with.
Corporations have demonstrated time and time again that they'll profiteer as much as they're allowed to.
In recent years, they've even stopped caring about whether people are able to afford their prices.
They cynically but correctly assume that people will spend more money than they have when the alternative is them and their families starving on the street.
Corporations are getting increasingly brazen about not valuing the lives and well-being of their customers anywhere near as highly as short term profits, and the vast majority of politicians are as spineless in regulating their own owners as always, if not even worse than they have been since almost a century ago.