Jabawocky,
You have not stated what type of equipment that you are using. i.e. is it a conventional ASI or an EFIS system with air data computer or just a GPS? Or conventional ASI and handheld GPS?
You seem to have a display of wind direction and strength, which leads me to believe that you are using an EFIS system and/or GPS.
You need to realise, that in these systems, the wind displayed is derived (by a mathematical algorithm) from your heading, groundspeed, TAS and track made good. So IAS/TAS affects the displayed wind, not the other way around.