I put in an API quota bump for Google Calendar a few months back and it was silently accepted after 2-3 days.
Based on my experience, each team individually deals with quotas for their API. Google Tasks is not really a dedicated product so it probably has little to no permanent team behind it. This is probably the cause for the slow response time on quota requests.
Yeah, we requested an API limit increase for Adwords. When we got an email about some specifics and how we stayed within their terms I figured it might just get rejected.
Thankfully it was a real person who actually knew what they were talking about and were able to sort it out over a chain of emails.
Based on my experience, each team individually deals with quotas for their API. Google Tasks is not really a dedicated product so it probably has little to no permanent team behind it. This is probably the cause for the slow response time on quota requests.