When we bought our CR-v last year, we were also told we could order the "towing package." Racoon is right that the package only consists of the hitch and wiring, but it nevertheless was referred to as "the" towing package.
There are warranty issues surrounding the addition of an aftermarket cooler. There are durability issues if one tows even light-weight trailers without an aftermarket cooler. Noting Honda's recent trouble-prone automatics we decided it was wiser to add a cooler.
To each their own.