Being a hardware enthusiast myself and investing always way too much money into hardware, I can promise you that you're on the very safe side with MSI. I never ever had any issues with coil whine. It does remind me of AMD cards from yesteryear. HD4870 would come to mind.
But I think I'd have the same issue with coil whine if the 1080 would have that issue. I have the EVGA GTX1080 FE, and because it's watercooled, I'd really have to be able to tell. And there is coil whine of any kind. I even pressed my head against the card at full load to make sure if you'd possibly be able to hear anything.
I therefore cannot imagine either the Strix or the MSI Gaming having these issues, if the stock 1080 doesn't have it. If you want the Strix, by all means, go for it. I cannot imagine it being a bad purchase; TTL did point out in his review that the MSI Gaming remains really quiet though....