Yep. You could be instinctively rolling off your edges in an effort to reduce the G-forces. As you roll off the edges, your skis slip sideways, which takes some of the pressure off your legs. Just a guess... My reccomendation is that you need to EMBRACE the pressure and G-forces rather than trying to run away from them.
I will liken this concept to racing dirt bikes, something I used to do a lot. On a dirt bike (or mountain bike), when you hit a corner you need to put a lot of weight on the front tire. On our dirt bikes we would hit the corner with our head well over the front of the handlebars. Exagerated weighting of the front wheel. At first this seems counter-intuitive because your brain is saying..wait..if I throw all my weight onto that front wheel...won't that make the front wheel slide out? I don't want it to slide out..I want it to stick and make the turn in the mud or whatever I'm in. So at some level, the brain instinctively wants to back off the pressure there...essentially try to hold back the front wheel from sliding sideways.
But in this case that is wrong instinct. First of all you can't hold it back. Second of all, if you want to make the tire hold the turn, even in the slick mud..you have to get as much downward weight on the tire as you can. Essentially you have all the momentum coming from the direction you are going...and then you're turning..which causes lots of centrifigal force momentum to want to slide the tire sideways..but by getting your head and shoulders over the top of the handlebars, you add a direct downward gravity force that pulls the tire down into the dirt, gives it more friction, hopefully enough to overtake the centrifigal forces that want to make the tire slide side ways.
Translate this all to skiing.... Its exactly the same thing. As you hit that part of the turn..near the bottom...the forces trying to pull your skis sideways are reaching their maximum. You want to do things that will cause your ski edge to push harder DOWNWARD into the snow. If the downward pressure is enough then it will exceed the centrifigal force that is trying to pull your ski sideways in a slip. So you do this not only be keeping your edges on edge, but also by positioning your body in such a way that your body weight and forces will be transmitted as much as possible directly down into the snow instead of sideways.
This is analogous to the head over handlebars on a dirt bike. When you hit that part of the turn... you should be angulated, which places your CM further out over your skis(instead of towards the middle of the turn). A little counter will help you to use large muscle groups to do this also. Essentially, angulation and counter are the secret ingredients to getting your CM further outside the radius of the turn (like head forward of the handlebars) which will help make your edges operate more efficiently.
Hold that outside leg extended just a little longer, don't let it flex until you're ready to transition into new turn. EMBRACE THE PRESSURE. Keep angulated and countered, feel like you're purposefully putting your CM closer to the outside of the turn to get over the skis and push them DOWN into the snow. Stand on your outside ski much more so than your inside ski. Your edging will dramatically improve.
By the way, all of what I just expounded on can be found in much better detail in Ron LeMaster's book which I highly reccomend.