Do logged-in shoppers stay in the same variant across devices on Hydrogen?

lots of our shoppers browse on mobile and then buy later on desktop. We run an experiment on the product page and I do not want someone to see variant A on their phone and then variant B on their laptop, that would be a jarring experience and probably muddies the results too.

We have Shopify customer accounts set up on the storefront. Does Croct keep the assigned variant sticky across devices for these shoppers, or is it per device?