Bshtei_Einayim: The poskim themselves disagree with you!
The halacha is that a safek which is negeah to a deoraisa (even if the machlokos is IF it is a deorasa, see Rema C”M 25:2) the halacha does NOT follow the majority rather even a yachid over the rabim, (Shach at the end of Y’D 242). [Furthemore see שבילי דוד (Y”D 242 SK 4 that even against the Gadol Hador we can say this klal, since it is not a רבו המובהק).
Techeiles is safek deoraisa, as the klal of אין תכלת מעכב את הלב is only said if techeles is not known, however if we have the techeilis then it is מעכב. Now since there are Gedolim on both sides, even if the majority disagree that this is the correct techelis, the halacha follows the minority since this is a question of a דאורייתא. [since all agree that תכלת is a דאורייתא and is מעכב if we have it, The question is: is it the correct one).
Thus, according to כללי הפסק we are mechuyav to put on תכלת. [Now, of course if you have a Rav whom you always follow then that is what you should do (see Chazon Ish (Y’D 150:1). My point is that for many who do not have one particular Rav, they should be מחויב to put on the techelis.]