Most of those "evidence" videos from the OP just show people not moving out of red zones/plumes fast enough.

The only two videos that actually show proof of lag are:

1. The SCH that eats a Landslide on Titan HM
2. The BRD that eats a Piercing Laser on Turn 2 ADS

All other videos are people who can't react fast enough blaming it on "lag".