No to both. Many folks execute orders or tasks with which they disagree on a daily basis. However, the strength of one's convictions is directly related to one's willingness to face negative consequences in order to stand up for said conviction. If one is against a mandate, yet still willing to comply, their conviction against that mandate isn't strong. Their conviction reaches its limit when their own self-interest, in terms of avoiding negative repercussions of non-compliance, outweighs whatever level of conviction they have. That is true whether the order is to clean a toilet or get a vaccine.
This is the same crowd on here that constantly rails against leadership (or anyone outside of their set of beliefs) having actions which do not match their words. When faced with real-world decisions, it appears this crowd acts in the manner of which the constantly accuse others- their own self-interest.
(And, 'no' in advance- I'm not going back to cite where you stated the above.)