I personally strongly disagree. I think it's much better to be given the opportunity to do the actual work, rather than to be required to do the pre-assessment song and dance. And if there are actual prerequisites that a person hasn't previously passed, they should be allowed to be tested on these specifically.
Speaking as a professor: the filter is really helpful. Having students struggle for two years in a program they're going to fail out of is terrible. I've seen it happen - and I saw more of it happen for the years CMU also stopped requiring the SAT.
The SAT is a very imperfect measure but it turns out a lot of the others are even worse.
It depends on a lot of things. If they've also applied to another college that's better suited to their ability, admitting then to a school where they'll likely fail is not really doing them a favor.