True but in a very skewed context. Your counter point is in an enviorment where all roles and handling of mechanics is balanced against each other as all are subjected to the same context.
Let's analyze:
DPS - Primarily responsible for doing damage. A bad player on this role, while still performing all mechanics 100%, could contribute to failing a DPS check. A single bad player is directly mitigated by the gearing on the rest of the party. A bad DPS that is mechanically sound, can still clear the fight if everyone else is good or better.
Tank - Primarily responsible for holding aggro and positioning and mitigation. A bad player in this role, can have a cleave shoot unexpectantly however most TB's hit one tank at a time usually in frontal cleaves or on the MT. There are cases like P3S tethers that go wary but this is easily resolved by strategy (party stacking south). Bad mitigation can be offset, by proper shielding from healers in most cases, and almost all TB's can be face tanked as Tank ilvl improves.
Healer - Primarily responsible for keeping people alive. A bad player in this role, will result in inefficient healing that can directly lead to death of raid or persons within it, while also reducing raid DPS due to ress sickness. This includes healing + shielding on MT / OT and AoE Raid healing and mitigation on party. Mismanagement of cds here has more direct consequences of life and death of a raid, especially when more consistent AoEs (ie. Curtain Call) or P3S (Power Healing / Mitigation) is needed.
No other role has more responsibility than a healer. You can save a run with a bad DPS even one mechanically sound. You can save a run with a bad tank (low DPS? / Poor Mitigation) that is mechanically sound. You can RARELY save a run with a bad healer that is mechanically sound unless the other healer is way better at adjusting and carrying the weight and suprise surprise, prioritizing the healing.
PF already proves this daily. That is only referencing Savage + Ultimate content.