It seems that this problem has been resolved, at least with Race2. I don’t know if it was Suunto or Strava, but as of this season, the number of runs is showing correctly.

@Stoke80 I’d like to file a bug for this. If it happens again, that neither watch nor app shows the # of runs, can you please send logs from the settings of the app as soon as possible after the activity? Then please let me know your app user name in private message and the date and time, when you sent the logs. Thank you!