My 2013 Spyder RT-S SE5 does not wander with my 2011 Elka stage 5 front shocks, stage 1+ rear shock. (rear tire pressure 28#, front 17#).
I suggest you give Len a call at PitBull powersports Springfield, Mo 417-863-1418 about Elka shocks for your 2013 Spyder RT. (I am not sure if Elka makes stage 5 front shocks for 2013 Spyder RT; but they are worth extra $$ in my opinion).
Was your 2013 Spyder RT built after March 2013? If built before that you may need front ball joints replaced under BRP recall.
(I noticed you enjoy supercross/motorcross. I raced/rode dirt bikes for 31 years in California Mojave desert; (B to V race was awesome).
(Maybe you can add info to your profile of what year Spyder RT, when you bought it, SE5, mods, your 1st name, etc).
(Did you put a reflective insulated heat barrier in front of master brake cylinder on right side of 2013 Spyder RT yet)?
Enjoy your RT riding!! Jim