LE uses alsa. Pulse is present and running but only used for BT output, unless you manually reconfigure it and then it's a layer on-top of alsa, so it won't solve anything (you only add to the layers of problem) if alsa isn't working.
Please share a proper debug log not snippets of what you think is revelant. You omitted all the stuff that's actually useful. Use the built-in log paste function (uploaded zip files are a pain in the rear).