Everywhere I have worked, if I had gone to my manager's manager without his explicit instruction to do so, would have led to my manager spending 100% of his time trying to get me fired because I would not be a wild card in terms of messaging to his boss.
Undoubtedly there are places where this is not the case, but in any workplace where politics have taken over skipping the hiearchy leads to nothing but political warfare
Sounds like your bosses have been a little micromanagey. Talking to more senior managers have been great ways for me to gain valuable perspectives on their goals and ask questions about how to achieve them. They should also be interested in a more unfiltered view from talking to the rank and file.
I've been in corporations where this is not always possible. (Mostly, politically speaking, though IIRC at one job my grandboss was not located in my building/city.)
This is a huge issue... You should have more actively met with them.