As for the criticisms focusing on volatility vs liquidity, to me they are linked, because in those instances of flash crashes that are the target of the recent criticisms, the issue has been that volatity increases due to HFT algorithms withdrawing from the market (i.e. reducing liquidity).
Also, there are other criticisms of HFT's beyond those three, including the "coincidence" that HFT firms seem to be responsible for most of the major order spoofing. Regulators have been VERY slow and uneven about enforcing HFT spoofing, but are finally catching on, albeit with slaps on the wrist (excluding Citadel being banned in China).