Not at all.
The idea that a hard landing equals a bad one is false. What if it was a short runway, wet conditions? I want a firm landing in the touchdown zone thanks not chewing up of the TDZ to get a greaser. I want to touchdown as soon as possible and make the first available high speed exit rather than spend more time on the runway and cause a missed approach behind. This should be communicated to the flying public. Besides what most of them would think is a “hard landing” is just really a firm one within g limits.
Make pilots start apologising for firm landings and then to avoid those apologies they’ll aim for more greasers, which means more overruns and more go arounds due to runway occupancy.
Judging the “success” of a flight by the firmness of the landing is like judging the success of open heart surgery by the quality of the stitching.