Since you ask, I am interested in ultimately being a vet but I'm not in some early phase of the process. I'm at the end of an MPH and plan to pursue a career in public health or regulatory medicine.
While I don't see myself being a clinical veterinarian in the future, if I were to choose that path, having faced problems early on in my pre-vet career being passed over for not having extensive clinical experience for introductory positions, I would be more vigilant to take on less experienced, but still very capable students to train on the job. No one makes it in the veterinary world without someone giving them a chance and it would be my way of "paying it forward." I do not believe in unpaid positions/volunteering (outside of non-profits). I believe students have a right to a wage for their work.
When I was actively applying to positions in undergrad, I was not "inexperienced" in the veterinary field. I had thousands of hours of animal experience and, at the time, hundreds of veterinary hours that were largely non-clinical.
At the end of the day, I have never volunteered my time to a for-profit business and I have never had to "work" in the veterinary field without some kind of compensation, whether that be wages, school credit, stipends, or grants. Even my animal hours that were completed outside of non-profits have been compensated.
I don't see the "No Wage to Low Wage" model of working your way up to be the only acceptable way of tackling the need for veterinary experience. It might be more difficult for the clinical-oriented students to go a different path, but it's doable.
In vet school, it should be assumed that you won't be working, at least not outside of a few summers. In undergrad or grad school though, having a steady or periodic income, even if a low income, will give you financial resources to pay for books, rent, utilities, gas, part of tuition, etc. That money will certainly come from somewhere else (loans) if not supplemented through wages.