Term limits eliminates the need to bribe really big amounts to any one because they won’t last long enough in power to be useful to Billionaires.
Term limits does not eliminate the need for money to finance a campaign, whether a candidate runs one or a dozen campaigns. Even with term limits, you’d still have more influential members, committee chairmen and majority and minority leaders.
I don’t see term limits as the cure all that some do. You’re not going to limit members to only one term, so the need to campaign and be reelected will still be there.