This is a good point in favor of having a management fee. Another is that without one, it incentivizes the manager to really crank up the risk. With 0/6/25, the manager has to break 10% (and possibly HWM) to make just 1%. With 1/6/25 there isn't the constant pressure to swing so hard or act hastily when downward volatility strikes.
WRT lockups, something I don't see mentioned yet is a 'soft' lockup. In other words, a 2-3% redemption fee that expires and/or scales down to 0% over time. This I believe accomplishes the best of both worlds in a way -- discourages early withdrawals yet mitigates their impact anyhow, and still allows LPs the option, for a price. When payable to the fund, it also rewards the more patient LPs, as the exiter's loss is their gain.