I suspect the ones that are handed out like candy don't really count for much in your evaluation. It's those hard-earned ones by vets that have seen you in their clinic for countless hours that probably weigh heavily.
Also, I'm wondering about your assumption that more value is put on the GPA/GRE? Can you substantiate that? I'm no expert, but at the school I applied to, your GPA/GRE is 33%, your subjective (including LORs) is 33%, and your interview is 33%. That hardly seems like putting more emphasis on academics.
I'll admit, I haven't looked at every school and read up on their admission's procedures; but the majority of schools I looked at either didn't publish how they consider students, or showed a preference for GRE/GPA over LOR/Experience in their consideration.
Iowa State
60% Academic / 20% LORs, Experience, Personal statement, diversity, etc...
http://vetmed.iastate.edu/academics/prospective-students/admissions/selection-criteria
UTK
70% Academic / 30% LOR, Experience, Interview, Personal Statement, etc...
http://www.vet.utk.edu/admissions/procedure.php#selection_procedure
Washington
This one is a little less clear; but the tier system for GPA and GRE seems to be more important than the rest.
http://www.vetmed.wsu.edu/prospectiveStudents/AdmissionProcedure.aspx
Michigan State
"Up to 60% of the class will be selected based on exceptional SIS score and an acceptable committee file review. The remaining 40% of the class will be selected based on a competitive SIS score plus a committee file review and/or an interview"
http://cvm.msu.edu/student-information/dvm-program-admissions/selection-process
UC Davis
1) Academic factors (50-60 percent)
2) Non-academic factors (approximately 25 percent)
http://www.vetmed.ucdavis.edu/studentprograms/subpages/faqs.html#q2
CSU
I'll admit that this one is more of a stretch; it's pretty vague but it does say:
1.) Quality of Academic Program
2.) Additional Factors
Generally, when making a list you'd start with the most important. But yeah, I don't know.
http://www.cvmbs.colostate.edu/ns/students/future_students/dvm_evaluation_process.aspx
Cornell
Academics - 55%
Experience/LORs - 30%
http://www.vet.cornell.edu/admissions/PSAdmissFormula.cfm
Anyway, these are basically the schools I've been looking at; I didn't include Ohio or Auburn because I couldn't find any break-down of how they do things. I do know there are a lot more schools that I haven't looked at, but I've never, personally, found a school that put a greater value on LORs/Experience than GRE/GPA. But I should have been more selective with my words and not included 'all school' in my statement. I don't know which school you are talking about with an even 33% split, but I certainly believe you.
Finally, when I said that they put a higher importance on GPA/GRE that probably wasn't really what I meant to say; even if that might be true for some number of schools. I was really thinking more of the phases of the admissions policy. From what I've seen at schools that explain their policy in detail and the general feeling I've got is that GPA/GRE plays a more significant role in the deciding who gets the interview invite. Then, they take the time to consider candidates other qualities.
So, if you have a 2.8 GPA and a 1000 GRE - you could LIE THROUGH YOUR TEETH about your LORs, charity work, experience, inventing the horse saddle....and they'd never look at it. If your GPA/GRE meets the 'Good enough for consideration' test, then it feels like (again, maybe just to me) these other things come into play.
I might be wrong, but I really that an applicant with a 4.0 GPA who scored in the 99th percentile on the GRE has a much better shot than someone who is in the 99th percentile for hours of experience.