LAMBTS is disabled via a different mechanism on K04 factory tunes.
Make sure you test and fix this ...
is it TKATBTS??
Temperature threshold for component protection near the catalytic converter
This value is maxed at 1229 in a tt225 wideband file im looking at. But in a 180 hp file it is at 100 degrees C. That would make it inactive up to 1229 degrees.