Aside from the fact I disagree from the rankings statement. I want to give a different perspective from the bolded. I think this is very subjective from owner to owner. I've worked at a practice that has hired many CSU grads and I can say at this point in time the owners are disappointed with the quality of graduates out of CSU (who's ranked higher than both these choices if we are going to take that into consideration). They want graduates from other schools hoping they can find the veterinarians they need. This isn't to say CSU is a bad school as we have had some awesome people from there. The point I'm trying to make to bring this all back into perspective is literally no matter what school you come from the answer to if a practice is going to hire you should be based on how you present yourself, your committment, knowledge, and experiences. We all know you get out of school what you put into it. So find those opportunities during your clinical year(s) in Mizzou's case and you can be a way better vet than someone from any vet school no matter the name. I also personally feel that if an owner gives an applicant more respect for a dvm achieved from say Cornell vs NC because of the name then I wouldn't want to work for them to begin with because they failed to take into account the whole person and recognize my experiences that in this hypothetical scenario make me better than that Cornell applicant.
I'm also not saying that there aren't owners out there that don't do what you say, but I think it's important to realize both sides of the situation.
@Finlays&Oreos with all that said, at Mizzou since you have the extra clinic time it could be spent doing some amazing internships in your area of focus and the like that you wouldn't get at U of I (not saying I think you wouldn't get a great education either way, just some more food for thought)
ETA: Missed this part of your thing. "My advice is go to the higher school if all things are equal." Still don't agree as I think they should go to wherever they think they'll get the best education for them but I see your perspective.