Looks like a new OTA is rolling out with the build number 14975.
A quick google for a changelog takes me to here: New Google OTA 14975 - xda-developers
I've also seen some Note 3 users say it appears to have fixed their disconnect issues.
A quick google for a changelog takes me to here: New Google OTA 14975 - xda-developers
Better TV output detection (probably to fix the black screen bug people have reported)
Updated netflix & eureka_shell binary
Still does not fully use V2 API, so V1 apps still work
I've also seen some Note 3 users say it appears to have fixed their disconnect issues.