What you are operating on is pure speculation. Allow somebody who worked there to educate your dumb ass.
I was in kabul and bagram in 2018-2020 and the Taliban were always constantly the airport with mortars and rockets, and that was when they had extremely limited presence in the city. Kabul airport regularly shut down several times a week, and sometimes even for days at a time for runway repairs or due to security situation with vehicle IEDs.
They attack the airport because it has lots of high value targets (aircraft+pilots+troops), and a higher than normal chance of killing government officials because they do almost all their transit through there.
In the current situation, the airport will be an even more busy hub of extremely high value targets that the taliban absolute wants to destroy or kill, and also serves as pretty much the only remaining lifeline the government they oppose has to their international allies.
So, even if they are not fighting in the streets immediately, they will absolutely begin a sustained indirect fire attack campaign on the airport any minute now. It makes 100% tactical sense to deny that asset and infrastructure, and while mission critical aircraft will probably be willing to land under fire if absolutely necessary, civilian airlines will not (and never did, they turned around and were diverted to other airports, but with other airports now closed they probably wont even risk the flight).
For what it's worth, I understand why you believe what you believe, but it's simply making some incorrect assumptions.
Mazar is not the seat of the government. Kabul is.