It doesn't work
- Configuration > Tuning : Smart Keep-Alive : No + Keep-Alive Timeout (secs) : 0
As I'm using cPanel, I've also defined the KeepAliveTimeout : 0 into the Apache conf. - But I think that it doesn't interfere.
As you suggest, I'll also ask for support in the forums for Google Map API.
But am I the only one where a KML readed from LSWS isn't considered a valid by this api ?