Sorry, the statistics export works fine with the default mechanism. I.e. files:
https://lhcathome.cern.ch/lhcathome/stats/user.gz host.gz etc are exported to the statistics sites like BOINCstats.
Our site also exports the app-specific credit in user_work.gz and team_work.gz as described on the page:
https://boinc.berkeley.edu/trac/wiki/XmlStats
This is the default BOINC server behaviour, that should be exploitable by statistics sites.
Otherwise you can find application-specific statistics on the page:
https://lhcathome.cern.ch/lhcathome/stats.php
Could the issue on some statistics sites be due to the fact that we now use SSL?
It also might be that the other projects you refer to have customized server code, or are on their own branches of the server code with a different behaviour, but as far as we can see, the LHC@home statistics export works like it should.