So you've somewhat answered your own question. On one hand, it adds diversity for them to say they have X countries represented but beyond that, there's little explicit benefit.
HOWEVER - you're right, the work experience is what sets you apart. So if you want to make your country of origin a differentiator, you have to work that into your application itself. Into the essays and recommendations. Effectively, answer how living there makes you a different perspective worth accepting. If you can't make the case for why your background is unique and important, then selecting Saudi Arabia from a drop down won't make a difference.
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