Can Trinity Force actually be a DPS item and not basically just Spellblade burst?

Trinity Force

Recurve Bow (1000) + Sheen (1050) + Phage (1250) + 333 = 3633

+25 Attack Damage +40% Attack Speed +10% Cooldown Reduction +250 Health +250 Mana +8% Movement Speed

Unique: Your basic attacks deal 10 (+10% Base AD) bonus Physical Damage on-hit.

Unique - Spellblade: After using an ability, your next basic attack within 10 seconds deals (140% Base AD) bonus Physical Damage on-hit (2 second cooldown).

Unique - Rage: Basic attacks (on-hit) grant +20 Movement Speed for 2 seconds. Killing a unit grants +60 Movement Speed instead. These bonuses are halved for ranged champions.

Tune the numbers to whatever is best.

Like, I'm pretty sure this item is supposed to be for dueling considering most of its buyers (duelists, a poke ADC, and one really angry horse), so spreading the damage out from the proc onto autos and trimming off half the CDR seems right on paper. In exchange, it gets back some of its old movement speed for sticking to the enemy when dueling and a slight cost reduction (that's actually just for the sake of making the combine cost 333).