Coincidentally, if you OC a P4 1.8 to a 133MHz FSB, you get 2.4GHz. Not very attainable on the original Willamette chips with 256k cache, but the Northwood with 512k cache was often clocked that high. This makes a comparison with same size cache difficult.
Let me make this simpler.
My Deleron 2.4GHz is running at 3.6GHz. I dare say no P4 1.8GHz chip can touch it in overall performance. Not the Willamette, not the Northwood, not the P4m.