I don't know anything about this incident. I've been talking about what TCAS does.
TCAS uses range, altitude, and closure rate to predict future conflict. It issues alerts based on time to closest approach, not just current separation. If there was no RA, the predicted conflict did not meet RA criteria.
TAs are not typically reported to ATC as such reports are not required. RAs must be reported if you deviate from your clearance in order to follow them. A "monitor vertical speed" RA may not require any action other than to keep doing what you've been doing.
TAs are common as they are often generated when aircraft are properly separated because TCAS does not know that somebody's going to turn or level off. It assumes that current trends will continue. RAs are less frequent but I get a few per year.