If conifers are infirm in the ground, recommend ceasing watering, you will either have to restake or perhaps cut down and replant. If you must water water, do it no closer than drip line of tree and slowly move that out. The idea is to force the tree to grow roots further and further out.
That said, hybrids can be a different animal than std. trees. Will be interested to hear what those with experience in GG recommend.

I have heard that trimming the leader on a Green Giant will cause them to fill out more, but I have never tried it on the 16 that I planted. A deer destroyed 2ft of a 4ft one I didn't have caged last fall and I trimmed it hoping it puts out a new leader since they cannot grow in height without one. I never had a Green Giant become loose in the ground. When I plant one I make a 5 ft. circle removing all grass, then break up the ground and plant it in the center with the root ball even or slightly above the surface. I keep the circle mulched and keep increasing the diameter as the branches reach the edge which is about every two years or so and every time I do I find the roots already there. These roots compete directly with the grass and it's best to keep the grass away so the roots can move out further. Right now all of mine are solid in the ground and the circles on the largest ones are around 8ft.

actually I haven't had to water at all this month. we've had probably 10 inches of rain this june- and more this week coming. The area with the loose trees are planted in an area with much more sandy soil which I think with all the rain just loosened them up enough so when it got really windy they started to topple a bit. Other green giants I planted around the same time from the same stock in different areas of the yard have made it no problem- including a few blizzards with 70mph gusts and 3ft. of snow. The area is all mulch too- so there is no grass in the area. These were container trees not B&B. They were kind of leggy when I bought them and have grown quickly, just not width wise. So I may try trimming them up a bit just to see. I mean it won't hurt it. but just wasn't sure if it was a waste of time or not or if anyone has had any experience with doing this.