I had a similar setup with Home Assistant in the past so I understand your usecase. For Reitti to detect visits somewhat reliable it needs at least one datapoint of location data a minute. We build location clusters with minimum 5 points in 5 minutes. If HA tracks that often it should work. HA probably tracks more than that.

I could add an integration that it fetches the data from Home Assistant. Do you mind in creating a feature request?