So first, despite what some people here like to claim, we cannot rule out that undergrad attended at least sometimes plays a role in law school admissions, say in the form of a highly selective law school being willing to go deeper into a class assuming equally good LSAT scores.
What we know is that some undergrad programs end up with a lot more students than others in the most selective law schools, a disparity which can be even more stark when you compare undergrad program sizes. There are some people here who will argue that if, say, a large flagship public university typically has 0-2 students in a certain law school class, and a small LAC has 10-15, that means it doesn’t matter which you choose. Of course that is not a reasonable thing to simply assume given such a disparity.
If you are interested in raw data like that, you can google “The Legal Launchpad: Unveiling the Undergraduate Pathways to Law School” (I can’t link it directly). Another way to put the point–according to that data, say, 4.8% of Amherst undergrads ended up at what they defined as a top law school for the purposes of that study. At Ohio State, it was 0.2%. That sort of disparity is hard to simply assume away with reasonable confidence.
That said, we can’t just assume that all represents value-added either. The problem is we can’t easily control for LSAT scores, and we also can’t easily control for self-selection, like what percentage of students would even want to go to a highly selective law school.
Like I picked Ohio State in part because Ohio State actually has a very good law school. Amherst of course does not. I have zero doubt some very good HS students in Ohio are choosing Ohio State for undergrad for financial and other reasons, then doing it all again for law school. The fact they didn’t, say, follow an East Coast LAC to East Coast private law school path isn’t necessarily showing they couldn’t have done that, they just might not have been interested in that path at all.
Still, the disparities can be so large I personally find it implausible the entire explanation is always just LSAT scores and self-selection. Like at that source, you can actually look up the “pipeline” for Ohio State undergrads going to law schools, and sure enough, a lot of their kids go to Ohio State for law school. But a lot go to other law schools as well.
So that can’t be the full explanation for why Amherst is so much higher than Ohio State in the top law school placement study. Maybe LSAT scores, but I actually believe too many people capable of getting high LSAT scores are likely going to Ohio State for that to be the full explanation either. I can’t prove it, I just don’t find it plausible the difference would really be that stark because of just those factors.
Anyway, with that context in mind, what we can say is it is easy to observe that various UK universities are represented at the most selective US law schools. Like Yale’s recent multi-year list includes all of LSE, Cambridge, Edinburgh, Oxford, and York.
But again, despite what some here argue, this is not sufficient to know whether it helps, hurts, or is neutral to make such a choice of undergrad program. We would again need data about LSAT scores, self-selection factors, and actual total admissions to even begin to assess that question, and I don’t know of a source for such data.
OK, so to be blunt: I think the safest thing to do is choose one of your US schools, probably UVA. All those are high on what that study called their Public Powerhouse list of placement in law schools generally, with UVA at #3 with 5.4%, UNC #5 at 4.9%, and Texas #8 at 4.5%. But for top law schools, Virginia was #28 overall with 1.7%, UNC was #64 with 0.8%, and Texas #113 at 0.4%. I note UVA and not North Carolina or Texas was considered a top law school, so that is part of the issue. But still, UVA undergrad in fact DOES feed to UVA Law, which is no small thing, and then also does well outside of that pipeline too (for a public university).
But, I don’t think safe is always best. Heck, you might not even go to law school. If you want an amazing experience outside the US for undergrad, I say go for it, and then be open to where that can take you. It may not be where you are currently thinking, and that could be great.
But that’s how I would see the nature of the choice.