It's a fair point but one that unfortunately isn't representative of reality I'm afraid. Agreed employers care more about experience but for jobs worth having, everyone has experience and a solid CV. Companies get significantly more applications from highly suitable candidates than they have positions.
Recruiters need to rule out people somehow and doing so based on what uni is a quick and easy way to thin the pack. No it's not fair and rules out candidates who could do the job, but if you have 30 applicants, 1 job and 10 mins to decide on who you're going to interview, then anything you can use to discount people will be used.
I suspect it's more important for OP who is looking at poorly defined job specs in an international market and so they should go with the one which has the best international reputation.