Not your Chrome bookmarks, something older and less-used, and it won’t affect your starred locations in Google Maps (which makes sense once you read)
A Google spokesperson has explicitly confirmed that you have absolutely nothing to worry about when it comes to starred locations, as we suspected:
“Starred Locations in Google Maps aren’t going anywhere.
Google is killing its now-ancient and practically unknown Google Bookmarks service. It’s niche, but Google Bookmarks actually dates back to 2005 and let you save a URL together with a name, label, and notes to the big, scary, 2005-era cloud.
Google is killing Bookmarks — and explains why you shouldn’t panic was written by the awesome team at Android Police.