Besides how do we know that DeSantis really took ths vaccine instead of a placebo injection?

Very likely.

Besides I only care if the politician is responsible for speeding up the creation of these particular vaccines

Because you're irrational. You also got mad at Pence for not exceeding his constitutional authority. You spun some fairy tale about how the world would be all flowers and everything without the vaccine. In reality, that would have guaranteed basically perpetual restrictions.

The man cannot be compared to Trump with regards to these vaxxes.

He did take them though, unless you want to spin a tale about a 'placebo'.