False. Prove it to yourself. Visit https://timeline.google.com/ to verify that it is off, or to turn it off. Now go to https://www.google.com/maps/ , click menu → Your places → Labeled to see your home and work, or to add one.
This was definitely the case as of ~1 year ago, in the Google Maps Android map. It appears to no longer be the case on the web or Android interface now. I'm glad Google has stopped doing it, but at this point my trust in cloud services has been spent and I won't be adding my home address or enabling location history (until I travel enough to make it helpful for direction-finding).
Another creepy incident that's happened with me is, with Location History off, the Maps app would prompt me to leave a review for a restaurant I visited and left. So Google (either the app locally, or the servers) is stalking you even with Location History disabled.
To use home and work when you search or use directions, you must turn on Web & App Activity. If you can't find home and work in Maps, learn how to turn on Web & App Activity.
Oddly enough, I do have "Web & App Activity" disabled (everything disabled except YouTube history to sync watch progress across devices), yet I'm still able to register a home address and ask the Maps Android app to route to it.
...I wish you could delete YouTube history on a 1-week basis, yet Google only allows you to delete it after 3 months at minimum. More tying.
