Hmm, this is very odd. I gave it a quick test just to make sure there isn't anything strange that slipped by in the most recent update, but it's working as intended. I'm not sure which browser you're on, but assuming Chrome, you can try fixing it manually with the following steps:
1. In the game, click right click and "Inspect"
2. At the top, look for the tabs "Elelemnts", "Console", "Sources", "Network", "Performance", "Memory", "Application", "Security"
3. Select "Application". It might be hidden in the default view - either drag the right panel left or click in >> to view the hidden tabs.
4. In "Application", a left panel will open. Under "Storage"/ "Local Storage", select "file://"
5. A list of key entries will open on the right. Select and delete all entries that start with "(Saved Game)"
Keep me posted how this goes, I'll be keeping an eye out.
Thank you very much, Joe! As the sole coder behind this project, I definitely would never be where I am today without all the helpful reports and feedback from players, so I genuinely appreciate when people take the time to point something out or just leave a comment =)