The save system in the browser version works fine, so I'm guessing it has to do with your computer/browser
Ah, that'd explain why now, while I'm on my phone, I can see my save data is actually there. Btw, absolutely love the new artstyle
Perhaps it's related to cookies, or you might be using private browsing mode, so that prevents the save files from being recorded. You should try another browser and check what I mentioned. But it should work fine!