I'll strongly disagree with jdc1244.
I lived in Austin and worked for the state police during 'the Artist's' rein. He is quite good at telling enough of the truth to get many to believe he's an honorable guy and making progress.
But to your question, police chiefs are usually given pretty broad latitude, however your statement:
"Acevedo is subject to state laws, the state constitution, and the Federal
Constitution, his opinions regarding current Second Amendment jurisprudence are subjective and irrelevant"
is very wrong.
Chief Acevedo showed he plays fast and loose with people and policies he does not agree with. Even though Austin has "police watchers", he became adept at minimizing their impacts and influence. But the biggest con, I'll call it outright fraud and abuse of all Austin-ites, was his dealing with Austin's unacceptable 911 call for service times.
How did he "improve" the times? I'm glad you asked such a relevant question. It was very easy, he changed the definition of time. By making small changes in when the clock started and stopped, he was able to trim the service times significantly. NO real change in reality, and only a few people knew the system well enough to call him on it, but he prevailed claiming those naysayers didn't know what they were talking about and didn't understand how (his) police operate. (But they did.)
Austin's city council supported him because of his stand on sanctuary status, guns and several other policies dear to those on the far left.
In summary, Houston loss will be Austin's gain, as the policies that change / become enforced in Austin will be blamed on the new President's policies that Acevado and others who don't believe in the uniform enforcement of existing laws hate.