No. That's not how pricing works. The price of a ticket might go up slightly, but it won't go up by the same amount as the fees cost.

This is due to supply and demand. Basically the price of something depends partly on how much people are willing to pay for it. On average, people don't value the extra cabin baggage at the price the airline charges, so they can't charge everyone that fee. It would be inefficient and they would lose money if they tried.

They might increase prices a little... But the most efficient price increase might be surprisingly small.