This is an accepted solution.
Hi there @ConduciveMammal
I've asked our internal dev team here, and the new online store experience will not allow SVG uploads at launch. This is due to the current limitation that Liquid has around resizing SVGs- however it is something we'll be looking to add.
Hope this helps,
Also @ConduciveMammal SVG's have their own set security risks when you pair novice users with a potential security hole like "here use my SVG".
Shopify is not the only CMS that is reluctant to do this. Eg:
But man do I love a good SVG