No. Free speech and the pursuit of truth are different things. Truth is a constraint on freedom. True speech, is NOT free speach. There is a conflict.
There has be be an accepted hierarchy of knowledge. The claims from people higher on the academic ladder has more weight than those further down the ladder. The higher up on the ladder the more freedom of speech. Well... not in practice. Since the higher up on the academic ladder, the more eyes and attention they have on them. So truth itself becomes a greater constraint the higher up they are.
So 'truth' is the wrong word. To me it's clear that what universities teach is not necessarily the truth. Rather, it's something like operational beliefs. Beliefs that seem to work.
Also, if you give the power to teaching institutions to decide what qualifies as truths you create ipso facto the conditions for abuse of that power. For example, an independent faculty can decide what is taught according to their personal beliefs, according to some collective ideology, or according to who pay them. Business concerns will invest in these institutions in every which way they find useful, including by bribing the faculty, the heads and even the students themselves as already happens.
At best, what is taught can only be what the faculty has come to believe is the truth. Whether it is the truth, when it is the truth, or even if it can at all be the truth is a matter of debate. I know of one area where what is taught, and it is taught the same throughout the world, is not true, and yet it will continue being taught possibly for many generations still after I'm dead and in Heaven.
That being said, I'm all for teaching to be based on expertise of the subject taught and for competition between institutions. There's no reason, however, to exclude state-supported institutions if it is so decided by democratic mandate. There is also no reason to exclude religious teaching or religious institutions, as long as they teach what they are expert about, namely religious views. And they will have religious views on evolution I'm sure. They could for example teach the truth that for all we know, evolution may well have been the means by which God decided to create modern man. If it is done well, you could teach these things while sticking to the truth, although usually they don't bother because they don't need to.
Sophistry can decide who wins an argument. But not necessarily who is correct.
A good example is Watsons true statement that we can't say that all races are as intelligent, since there's no non-pseudo-scientific research in that field. His career was destroyed because of it. Still true. That's what I'm talking about.
But that's sophistry. This subject is not a scientific one. From a scientific point of view, there would be a clear bias in having an Indo-European dominated science, in an Indo-European dominated economy and geopolitics, concluding that Indo-Europeans are more intelligent. Ask Trump who is more intelligent.
Watsons himself would probably have refused to admit that Indo-Europeans are less intelligent if it had been the conclusion of a scientific study conducted by African, Japanese or Chinese scientists.
EB