Yes and no...
You are correct that the sap is "rising" from the roots and lower trunk to push growth into the branches, and the buds.
You are incorrect to think that all trees produce sweet sap to make maple syrup. Interestingly, three species of native American maples create a high enough sucrose content to make maple sugar (2 to 5 percent sugar content in sap). They are the sugar maple, black maple, and surprisingly - the red maple (A. rubrum).
To make maple syrup you tap the trees in the early spring, collect the sap, and boil it until you concentrate the sap to 2-4% of its original volume. I've actually done this in real life... and slept in a dairy farm loft above the cows... but that is a story for another day