A method of making an attenuated-light-off post-metallocene catalyst (attenuated post-metallocene catalyst or attenuated P-M catalyst), the method comprising combining a faster-light-off catalyst with an effective amount of a kinetics modifier compound of formula (A1), (B.sup.1), or (C.sup.1): R.sup.5CCR.sup.6 (A.sup.1), (R.sup.5).sub.2CCC(R.sup.6).sub.2 (B.sup.1), or (R.sup.5)(R.sup.7)CC(R.sup.6)(R.sup.7) (C.sup.1) as defined herein under effective reaction conditions to give an attenuated post-metallocene catalyst that exhibits an attenuated light-off kinetics profile (relative to that of the faster-light-off catalyst); wherein the faster-light-off catalyst has been made by activating a post-metallocene precatalyst (i.e., an unactivated coordination entity or ligand-metal complex) of structural formula (I): (D).sub.dM(T).sub.t(Q).sub.q(X).sub.x (I) as defined herein; and related methods, compositions and uses.