Try look at manifest, set clear traffic, may be it helps
For the manifest: I didn't realize yet how to include permissions other than those listed into Project Options/LAMW Configuration. For example, I need to use the microphone. The manifest gets overwritten every time, I just can't simply put it there.
Same with the jWebView.java - it comes fresh on every build from LAMW directories.
I've modified it there, added the
onReceivedSslError() in jWebViewClient, and it works now for the untrusted certificate. But my next trouble is with the permissions. I'm opening a video chat site into the jWebView and it can't get the mic, because of no permissions.
Looking at large, these android bridges aren't bridging most of the methods, and maybe, the only way is to modify the LAMW itself.