I actually tried this with a Celeron-1400 back in the day. Had it running at 1866/133, and at that speed it could match the stock-clocked PIII-S 1400 in some benchmarks. In others, the PIII was ahead. The Celeron also required some enormous voltage to get to 1866, and actually quit working after a few hours of benchmarking.
So yeah, definitely go with PIII-S 1400. It'll outperform the Celeron-1733 and run much cooler. Plus, most of them will happily do 1575/150 at stock voltage, should your motherboard accommodate.
Worth noting: I ran those tests on an old Asus TUV4X (Apollo 133) motherboard, which has lower memory performance than 440BX at equivalent bus clocks. That may have allowed the PIII-S and its ginormous cache to shine more brightly than it otherwise would have. 😀
Standard Def Rigs
Super P3: PIII-S @ 1.63 GHz/FSB155 | 2GB DDR-310 | 6800GT AGP | 500GB 7200 RPM
Super G4: 2x PowerPC 7455 @ 1.5 GHz | 2GB DDR-333 | 7800GS AGP | 300GB 10k RPM
Super G5: 4x PowerPC 970 @ 2.5 GHz | 16GB DDR2-533 | x1950XT PCIe | 512GB SSD