Here's Glasgow council on record on beech trees, and the ones in the North Wood in particular (from the info board at the Pollok Beech)
Those woods are like an Enchanted Forest - I've been there in the spring with sun dappling through the new leaves, and on the day it snowed a couple of years ago. Magical.
Magical enchanted forests are in short supply (are there any others in Glasgow?), which is as good a reason as any for being very very careful about making changes. There's not a lot of magic in stockades.
But could the council's strategic thingie rethink about Pollok Park effectively have been a decision to make it more suburban? All the tarmac-ing of paths and clearing out of undergrowth seems calculated to make it seem less remote and wild, more tame and garden-like. Woodlands do need to be managed (see all the bits of blown-down decayed tree at the moment), but turning them into gardens is a bit over-zealous?
Looking at your map, Crusty, the site does not seem that big.
HH, the aerial pic of Pollok Park is very misleading about the size of the actual park bit - although it looks like a huge green circle it's all golf course and playing field round the outside, and there's an large inaccessible area in the middle (fields where the cows are, and some kind of farm house). I'd estimate only about a quarter of Crusty's big green circle is park proper (I mean,where ordinary people can go and mooch round). The Go Ape site is a very big part of the woodlands.
I love the idea of swinging through the tree tops, but I'd want to do it somethere where only a small fraction of the trees are affected, I want to think that the trees and the things that live in/on/under them are carrying on with lives undisturbed by the mechanics of my swinging.