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. 😀
5 Groovy GHz: Ryzen 9 5900X | GTX 1080 Ti | 32GB DDR4-3600 | 2TB NVMe, 8TB HDD | Win 10
5 Troll GHz: AMD FX-8350 | Radeon R9 Fury | 16GB DDR3-1866 | 500GB SSD, 2TB HDD | Win 8.1