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It works. Kind of.
If you try to get to https://yourhost:44300/ you get redirected to http://yourhost:44300/login.view;jsessionid=bla, just change the protocol of that url to https and you'll get login screen. When you login, it once again redirects you to wrong place, this time http://yourhost:44300/, once again change the protocol to https and you should end up in https://yourhost:44300/index.view
Once you get there, it works, the player and all, over https.