To a point. While any given speaker should always endeavor to deliver their point for maximum effectiveness, by the same token, discounting or outright ignoring

To a point. While any given speaker should always endeavor to deliver their point for maximum effectiveness, by the same token, discounting or outright ignoring feedback simply because it's worded poorly or timed poorly is like rejecting your paycheck because it's printed on green paper instead of white. The money is still there, and it's still usable, and you're only hurting yourself because it didn't come how you thought it should. Frankly, as someone who leads a team myself, yeah I've had to take colleagues aside and say "this isn't how we do things" but I certainly wouldn't just bin their entire point without consideration to save "face."