Let's see. Without optional feats:
Lvls, Damage Rogue TWF, Damage Fighter GWS
It looks to me that without feats, the Rogue is actually competitive here.
The Fighter eventually has AC 18, the Rogue AC 17. The Fighter has various other abilities to nova or defend, the Rogue has powerful defenses vs. spells and attacks. Some levels the Fighter does more damage, some levels the Rogue does more damage.
The point is, however, that without feats, Fighters do not just run away on damage here. Rogues are always at 73% to 150% of Fighter damage range. Taking out the outliers levels of 3, 4, and 11, it's generally 81% to 120% of damage.
Granted, Fighters eventually get more chances to critical (levels 5 and 11), but TWF Rogues have that "I missed with the first attack, I hit with the second attack and still get my sneak attack damage" capability, and they have the option of bugging out with disengage (at the cost of a little bit of damage). The TWF Rogues hit for solid damage nearly every round. If a Fighter misses once in a round, the Rogue typically does more damage even if he does miss once.