Unfortunately, the "hard pressing" concept can be squarely blamed on bat makers who press bats extremely hard to avoid warranty claims. Some of these bats never really perform to a batsman's liking. Any bat that is not pressed to that level of hardness is feels a "soft" pressed bat by batsmen. The rebound on those bats has a springy, soft feel to it. These bats also perform very quickly meaning that the bat face exhibits responsiveness and value for shots. These bats do require knocking and malleting because ball leave marks and finger-nail test leaves an impression. However, the bat doesn't require an extensive knocking process meaning that bat makers pressed that bat enough so that a batsman can find their acceptable level of comfort/responsiveness with that bat. Those are the best bats. Lot of my Keeleys are like that. Kranzbuhlers require minimum knocking to see the ball flying off the face. In my experience, there is actuall soft pressing where balls leaves dents on the bat face. Those bats require a lot of knocking but good thing about them is that you have the freedom/option to find your level of comfort/acceptability with the response. These bats do require care and some timing when preparing them. Now, some might call them under-pressed bats but for a nit-picker those might be the best option. In my opinion, any press other than "warranty avoidance press" is better as long as the batsman knows what he needs to do - simply since a batsman can caliberate the knocking/hardness of the face to their liking.
A friend ordered a Signature from Laver and requested a soft pressing. Laver's response was that that bat might break but went ahead with the request and made the bat with soft pressing. The bat plays great but has dents and cracks from shots. Anyone who's used a Laver knows how hard pressed they and with their "helicopter" scuff sheet, virtually blemish free after use in the nets. Soft pressing is not a myth.