It is ridiculous to suggest that an agent allowing a pax to leave their bag in the boardroom would violate any TSA rules. It is a no-brainer. If it were a violation of TSA rules, every single time I leave the Continental President's Club to go to the bathroom (it has no bathroom in the club) then CO employees are in violation of federal laws/TSA rules by allowing every pax to leave their bags, and I might add, the SEA Prez Club has lockers and we are not required to lock up our bags to leave for periods of time.
Frankly, the letter of the law and the spirit of the law seem to be at issue here. You scan your card AND show photo gov't issued ID when you enter the clubs so you are fairly well-identified so your bags are not techincally unattended because you are known/identified to staff. I think the spirit of the law is to avoid leaving your bag unattended in the middle of a concourse with no way for anyone to discern ownership without alarm. Might I add that it's sort of a ridiculous rule because if I am a suicide bomber, I sort of don't need to leave the bag unattended to blow it up or release toxic agents, and if I did abandon the bag, by the time someone noticed and alerted the authorities, I could be totally off the concourse in three minutes. The more important question would be since I cleared security, how I got anything dangerous to leave unattended, airside, in the first place.
All that said, I find the Boardroom hours far more troubling in the OP story than the bag attendance issue.