5% isn't often but it does happen - even if it has to take a lot of pushback to happen. For one example of a plan modified to be a bit less bad after pushback

U.S. Senator Rick Scott on Friday revised his plan to end all federal programs after five years to exclude the popular Social Security and Medicare programs, after enduring weeks of mounting criticism from Democrats and his fellow Republicans.

[...]

While Scott's plan did not directly call for an end to the Social Security and Medicare plans for older Americans, it had not specifically excluded them until he changed his position on Friday.

https://www.reuters.com/world/us/republican-us-senator-rick-scott-drops-plan-cut-social-security-medicare-2023-02-17/