I had a ton of research experience when applying, and it came up a ton during my interviews. None of my research has been explicitly vet med-related, but it has still been animal-related. My first study was looking at historical ranges changes in a species of bird and using climate projections to see how their range might continue to change going forward. My current study is a little more vet med-related, but still less so than some people's experiences. I am studying the prevalence of a disease in wild birds from a primarily ecological perspective. I think schools like to see any research experience, regardless of if it is directly related to vet med.
However, plenty of applicants get in without any research experience. It is a great way to round out your application if you feel it is lacking in other regards (i.e. I had NO large animal experience). If you KNOW that you DON'T want to do research in vet med, I would focus more on rounding out your clinical/veterinary experiences. If you are genuinely interested in research, see if your school has opportunities for funding undergraduate research! A lot of people get research experience from being a lab assistant, but I have personally really enjoyed having my own projects. It really just depends on the kind of experience you want.