What you're experiencing are the immutable laws of physics. Please bear with my long winded explanation to explain. I'll keep it as brief as possible. It's worth a read because it covers some interesting differences between OEM and high performance shocks.
BRP chose the OEM shocks/springs as a compromise between comfort and handling (as well as economics but that's another story). The OEM spring rate (stiffness) is low to moderate (depending on the user adjustable cam setting), and the hydraulic valving is "soft" to give a comfortable ride (at the expense of better handling). In normal riding these shocks usually do a good job and nothing more is really needed. However in aggressive riding (or high crosswinds) the low to moderate spring rate may result in significant weight/load transfer which we feel as a lateral (side to side) roll. Roll may give us an uneasy feeling of movement and the sensation of the vehicle being unstable. This is good instinct because excessive weight/load transfer will ultimately result in loss of traction and we all know that's not a good thing. Other factors may exacerbate this such as total rider/passenger weight. A secondary issue is the soft hydraulic valving. Such valving allows greater comfort by allowing freer movement of spring compression/decompression which helps soak up bumps but also allows greater weight/load transfer. Now the Vehicle Stability System (VSS), or the "nanny" as it is colloquially referred, has been carefully calibrated to take all of this into account and it acts when it senses an impending significant loss of traction or stability. Like a fighter jet the Spyder is not inherently stable in turns and requires sophisticated electronics to keep it on the road in aggressive maneuvers and other conditions such as wet pavement. This is why BRP insists on going into a low speed limp mode when the VSS system is compromised (again another multi-sided story for another thread).
Riders who want better traction for high speed maneuvers often opt for high performance shocks. In the case of the Spyder this includes Elkas, Fox, and even substituting the RT shocks on an RS. These shocks all have a higher (stiffer) spring rate and in the case of the Elka and Fox shocks also have harder hydraulic valving to improve handling. The stiffer springs and the harder valving reduce weight/load transfer and thus increase total available traction. This permits more aggressive maneuvers and with less lateral roll. Now we all know there's no such thing as a free lunch so what's the catch? The catch is some loss of comfort. With stiffer springs and harder valving you can easily understand that some comfort will be lost.
I told you all that just to explain this, now to finally get to the topic at hand:
There are also some other interesting side effects of high performance shocks as well. If the stiffer springs resist weight/load transfer and in turn lateral roll, then where does the force go, or more accurately, how does it act upon the suspension? The performance shocks can't alter physics, the faster you turn the greater the centripetal force. It has to act somewhere. In the case of the OEM shocks the forces act to further compress the spring on one side and you get a greater lateral roll. In the case of the high performance shocks with their stiffer roll resistant springs, the force may result in wheel lift. The VSS plays a part here too. Normally the yaw rate sensor detects the roll and is calibrated to allow only so much before it acts. With stiffer springs the roll is reduced at a given speed and the VSS, which is calibrated to the OEM shocks, may not detect a problem, so the power is not cut until possibly after you get some wheel lift. Is this dangerous? Well wheel lift is certainly not good, it results in significant loss of traction, but if the lift continues the VSS eventually will detect it and power will be reduced. Skillful riders know how far they can push the limits of the Spyder with high performance shocks and expect and compensate for problems such as this. We all (hopefully) know that you can only push aggressive riding so far before the limits of a vehicle are reached. It should be noted that high performance shocks effectively increase traction so wheel lift will probably only occur at corning speeds the OEM shocks usually couldn't reach due to the VSS. That said, there are some very skillful riders that can achieve wheel lift on an OEM equipped Spyder as well.
Bottom line is that if you modify your suspension with performance or non-OEM shocks, including RT shocks on an RS, expect positive and yes, some negative changes. It's up to you to determine if the positive results outweigh the negative for your style of riding.