The reason why tanks avoid Tenacity is because incoming damage is quite low in this game and tanks have plenty of skills to mitigate it. It's better to just kill the enemy faster by going for more DPS stats. Tenacity does increase damage dealt, but not by much as other stats.

However, unlike the other 3 tanks, Warriors value Tenacity slightly higher than Direct Hit due to having a number of skills give or have a 100% chance to Direct Crit (crit also increases the damage dealt by crits so it's still good).

Assuming you're only gearing for warrior and not share gear with other tanks, you'll want to value Crit > Det > Ten. Skill speed isn't really needed for Warriors.