Eh, even if Quirrel points were the problem, Harry's apology is still unnecessarily grovelly.

I would go as far as to say the grovelling is worse if the Quirrell points were the problem.

• If the falling from the building was what Harry was worried about then that would just suggest that Harry is terrible at risk assessment and lacks mature boundaries (ie. considers Draco dropping Hermione at her command after both enemies chose to got out on the ledge his responsibility not hers). But once those errors in reasoning are accepted then some serious remorse would seem called for. The main problem with the apology would be that emphasised begging for approval above expressing sincere remorse.
• If the only issue was Quirrell points then even devoid of the approval seeking the level of remorse would be absurd.