Dev time range is no different than what is typical for MG Classic or MGWT, or most other papers. Cooltone is inherently a more neutral cooler black - conspicuously different from the rest of the current Ilford paper lineup, and in my opinion, a way better paper than MGIV ever was. But to what extent has its cooler image potential all depends :
Depends on the original neg contrast itself - but for me, in 1:3 130 developer, generally 2 mins is required to obtain a full cold DMax. I often go longer, like 3 min if needed. At only 1-1/2 min at approx normal temp 68F, the image tends to be a little more reminiscent of MG Classic with just a tad of warmth - quite nice for certain images, not for others. So there is some image tone flexibilty based on dev time in the tray; but post-toning response is better with full development (generally 2 min or more).
The question has a lot to do with your developer choice itself. I never liked what I got with conventional MQ "cold" developers in this case, and certainly not with Dektol - they all trended a bit greenish, which selenium toning could only partially cure. So I've settled on glycin 130 with a high degree of success; but it seems to work best a little bit warm, around 72F. I've never tried Ethol LPD, so can't comment on that option.
Exposure time is much faster for Cooltone than MGWT, a little bit faster than Classic.