It's an interesting idea. Is that what's happening? The article doesn't suggest it. People like Richard Burr, Chris Collins or Nancy Pelosi were certainly wealthy enough cover these expenses. It didn't stop them from seeking other ways to make money via their position. If your goal is to stop insider trading, you should focus on stopping insider trading.
If your goal is to make it easier to travel to and live in DC, well, congress has the power to address housing (especially in DC) and airline costs for all Americans.
The comment above specifically also said to create and enforce laws against insider trading, in addition to the pay increase.