The damage per strike increase is being exaggerated anyways.

Code:
Weapon			Base DMG	+DMG	fSTR	Total DMG	Marginal Increase
Furor Cesti		46		22	10	78		56.41%
Taurine Cesti		46		28	11	85		43.53%
Revenant Fists +2	46		31	11	88		38.64%
Verethragna(90)		46		35	12	93		31.12%
Glanzfaust(90)		46		42	13	101		20.79%
Spharai(90)		46		44	13	103		18.45%
Tantra Gaiters +2	64		45	13	122		-
In the most extreme case, Furor Cesti vs Tantra Gaiters +2, there's a marginal increase of 56%. Don't get me wrong, 56% is a huge number (a 100 damage strike with Furor Cesti would deal 156 under Footwork with AF3+2), just needs to be put in perspective with the overall trade off. This does dismiss the 15% attack bonus, although in many cases (both inside and outside of Abyssea) cRatio is already capped.