I think the roundabout answer is still "No".
Congresscritters currently pay only enough attention to their constituents to make it sound like they care. Their attention is split by lobbyists for business interests. The less the government interferes with business, the less lobbying those business interests will do, so untaxing business will remove a lot of the lobbying that goes on -- along with a lot of the campaign finance. That will leave Congresscritters listening to their constituents. In particular, those constituents that donate heavily to their campaigns.
Those wealthy donors will fund other candidates rather than be fleeced again. I tend to think they've learned their lesson over the last 90 years and won't let it happen to them again.
If the government gets hungry for money, I think they'll focus on the remaining social-engineering taxes -- raise fuel taxes "to reduce reliance of foreign oil and to save the environment" and alcohol taxes "to discourage the associated health problems", etc. You know, places where the minority they pounce on won't have an impact on their re-election campaign finances.
You're right again.
With the end of tampering, there will be less need to lobby them for protection or favors. They will be tax exempt. Why would they want to mess with that?