Was anybody planning to answer the OP's question?
I'll take a stab...
In today's world, the answer is yes I would fire him for that record.
Back then, in case you didn't know, Beamer was on the hot seat. As an alumnus, plus taking over a program that was mired in mediocrity, gave him a certain amount of leeway. In other words, the expectations weren't very high to begin with. Yet, still, there were those who were calling for his head and the administration was beginning to listen. Fortunately, he had that season out of the blue in 95 and cHokie fans, like cockroaches, came out of hiding claiming they had been supporters of the program for years.
Today, the scene is completely different. No longer do you have to rely solely on recruiting (in the case of Beamer - low character barely literate convicts) high school players and developing them. NIL, the portal, etc. make building a team that is capable of winning more than it loses a not too difficult task - if you have something to offer like a name, NFL pedigree, etc.
Brown didn't and doesn't have any of that. He needed time to build up a name, program, etc. That's why those who were calling for his firing 3 years ago were just being childish. Ultimately, they were right - but still childish. Nevertheless, six years is long enough.
One can't just look at wins and losses. There are other factors that go into it. But, the overall question that must be asked is, "Is the program on an upward trajectory, regardless of the setbacks?"
If one is answering objectively, I don't see how anyone can say yes. Do you?
I'm saying the AD needs to be ACTIVELY looking at replacement candidates. If there is one better, fire Brown after Jan 1 and replace him with the guy. If not, then the only choice is to keep him until one comes available. Still, as in the case of Beamer, his seat has been hot, the program isn't on the increase, and he has had his time - he should be shown the door as soon as a replacement has been identified.