I fly quite regularly out of NTE and it is really smooth.
By booking your parking ion advance, you get a discount (most time) and at most 8h parking free.
From parking to terminal, it’s maximum 2-7mn depending where you park.
Skypriority line is mostly empty or with 1-2 person so no wait.
No fast access at security but usually it is very fast (except if you are on a holiday departure day).
I usually plan to park 25mn before boarding and never miss my flight.