UT was more accurate but less kind. The fact of the matter is that if you don't graduate in the top 5% with absurd connections or very close to the top 5% with absurd connections and substantial other factors (more-than-usually substantial scholarship) you have 0 chance at legal academia.
UVA being 'supportive' of its students getting academic careers is somewhere between disingenuous and adorably naive. Sure they will support you - and if you get perfect grades and publish that support might even mean something! They know that, and they also know that 0Ls aren't going to have any conception of just how difficult that career path would actually be.
Using 3 years worth of data and averaging it out:
Every year, VERY roughly 9% of the class from Yale
gets hired as law professors. (Note that this is after clerking/working/publishing, not out of school, so they won't all be from the same class year or anything).
~2.8% of the class from Harvard gets hired.
~1.2% of the class from Virginia gets hired.
~0.5% of the class from Texas gets hired.
Becoming a law professor is probably the single hardest conceivable thing you can do with a JD after a SCOTUS clerkship (note: many SCOTUS clerks become law professors).
And grades are HUUUUGGEE when it comes to academia. Profs take students with good grades seriously, making them more likely to 'back' then, help them write, etc. Hiring committees take grades very seriously. Grades qualify you for law review, and law review is close to a mandatory requirement.
Publishing is probably the most important factor, but the market is so competitive that you really can't afford to miss any 'checkbox' of top school - top grades - top professorial recommendations - top clerkship - serious publication(s).
The difference between UVA and UT at this point is basically moot. You will either go to law school and do better than every student at the school or you won't. Either will give you a shot, neither is likely