I don't think Liverpool is bad at large animal stuff, but if I am honest, on rotations they don't seem to have many farming clients. However, on the other hand, the lecturers are good and we have our own working dairy, pig, sheep, and beef farms. Dairy is the biggest farm we have. We can go onto these farms at any time if we feel we need to practice doing something like clinical exams, or to go lambing for example.
Even though Liverpool is considered famous for their equine work, we don't focus on equine more than any other species! So whatever uni you go to, you are unlikely to find yourself spending much more time in one sector vs the other. You can still be a LA vet whatever uni you end up going to!