I think the delay on skipping is good(maybe minus 15 minutes from the range if my suggestion is taken), but I agree that the delay between tasks should be nix'ed. It makes interacting with the system tedious. You can't get in a grove at all. It also makes hitting the daily mark unobtainable for many players. For example, if daily tasks equal 12 for today, given a ~12 minute cooldown on completion, then there will be an average of two hours of delay, plus the time to do the tasks themselves. This could easily workout to 4-5 hours to complete the daily based on the current tasks and not having to skip any of them.
An alternative solution would be to adjust down the daily task range down by 4 on the max and min. This would be a great help, I play a ton and still have only hit the daily twice so far.
Or normalize the task difficulty. Not sure if this one is still in rotation, but anything involving a Gen 2 pet is insanely harder then kill x of monster y. Likewise for kill tasks that need you to kill x of a monster that only has 2 up at a time, with long respawn timers (looking at you Solen Queens). Finally, I agree wholeheartedly with Kaida on the beards and leather. This is exceedingly important since the storage keys automatically chop and cut these resources, and there are no keys that can hold the unprocessed versions of these resources.
It is a great system all around, but I think all the major ranges are off. If it was only one or two of them, I do not believe there would be an issue. But all three being off, in my opinion, makes the system hard to utilize correctly or fully.
I hope this feedback and my analysis help improve this marvelous system.