I don't think arguing from authority has a really great track record this pandemic.
The argument on the blog is pretty straight forward, and the data is all public.
However, if the software developer raises an admittedly good point based on specific, verifiable information (in this case sourced from covid19-projections.com, which sources covidtracking.com, which in turn aggregates data from state public health authorities) which questions the pre-COVID practice of observing a vaccine recipient for 15 minutes, their occupation should not make their point any less valid. This wouldn't be the first time that a well-established best practice turned out to be exactly the wrong thing to do given new circumstances.
The process of evaluating an argument should balance the informative value of the argument-maker's credentials without veering too far into gatekeeping or argument from authority (https://en.wikipedia.org/wiki/Argument_from_authority).
Given that, it's precisely these guys, outsiders who think they're smarter (or less bound by rules or whatever) than those spokespeople, who are in a position to give us some of these important pieces of advice. Of course, that means you have to take them on evidence/argument rather than on authority. But it seems like the evidence/argument here obviously stands up.
[1] https://www.cnn.com/2020/03/30/world/coronavirus-who-masks-r...
[2] https://slatestarcodex.com/2020/03/02/coronavirus-links-spec... , search for "bungled its coronavirus response pretty egregiously"
Why would I listen to a software developer on whether I should follow medical guidelines in a health crisis, over some source more involved/accountable to the vaccine distribution system?
There's absolutely no consequence for him to give 5 minute advice that he has no accountability for. Will he accept responsibility for advising people to do this?
He might be right, even, but for some reason this morning I got set off irritably by such a person giving others medical advice. So for that, I apologize in advance.