In terms of platform variants the Taurus outsold the Crown Vic by a fair amount. The latter was certainly hugely popular as fleet vehicles, but the Taurus was Ford's best selling sedan for quite a while. The Taurus was never rated for anything more than fairly light-duty towing (<= 1500lbs).
More to the point - at least for automatic transmission variants in the early 90s - even the base F150 could certainly out-tow Crown Vics of the time, unless the latter had a tow package, which would push the rating up to 5000 lbs (..same as the lower end F150). Later on the delta was a lot greater (in the truck's favor) as the tow packages for the cars were phased out.
Nowadays the minimum ratings of F150s (even with shorter beds) is 5000lbs, or more. The smaller CUV/SUV platforms are usually rated ~1500lbs *max*, with some of the larger truck-based models obviously running in the same range as the trucks.
TL;DR - Even back in the day the "typical" sedan was still only rated for towing small loads, unless specially ordered with towing packages. Now..all that said, the frequency with which typical F150 owners ever actually tow anything is a whole other question.