Thanks for the suggestions.
I think this would be more confusing than helpful for most customers as having to update the status on your phone in order to see it on the website is far from intuitive.
Syncing this information would also drastically increase the amount of data I need to store.
So this is a "no" for now, sorry! I'd much rather see a desktop client of my app but I don't really have the time to create a separate code base for it. Something like Chrome ARC would be optimal but that doesn't support Google Play IAP and Google Play Services and is a nightmare to set up for the regular consumer.