Icebiker yes speed is a factor as well as turn radius. The tighter you turn at a given speed the more your body needs to lean. Therefore you need more speed to get low with longer sidecuts but even with short sidecuts you need a certain amount of speed.
You get a tight turn with early edge pressure. As I said before I am not the best at getting low but I find I get the lowest when I seriously commit to that edge early. That means that the start of the turn begins when I am traversing across the hill just after the previous turn, and I huck my body over the top and onto the downhill edge. At this point I am traversing on the downhill edge as it hooks up. If you do it right you will whip around tighter and lower than you might think possible. But it requires commitment and faith that the edge will hold, especially going toe to heel. That one is a blind huck over your shoulder.