I'll take your word for that. The few times I tried a Tualatin in a 440 board they always failed to boot. The 440BX was not officially compatible with the any of the Tualatin based CPU's. IIRC, the P3BF was a frankenstein board. Is that the board you have?
Yes, mine is Asus P3B-F, latest revision number. Officially no, I don't believe that it was ever supported. But unofficially people are having a blast, because it essentially allows you to build the world's fastest Slot 1, I've seen reports of up to 1.5, 1.6GHz (overclocked 1.4 Tualatin) but these are not for every-day use scenario, obviously. The only "catch" is the core voltage, as the board can only go as low (1.70V), but again there are ways to work around this issue. From soldering & using different voltage regulators, all the way to keeping the Tualatin chip @ 1.70 & giving it a beefy hunk of aluminum, to keep it cool & within safe temp. zone.
What really surprised me is the flexibility of 440BX chipset itself. You would think that after converting Slot 1 into S370, and then converting S370 into S370T would cause problems, or signal delays but apparently this seems to be working perfectly fine. Google it, there are tons of documented examples
There are even
All-In-One solutions available, although these are incredibly rare & difficult to find. A modified Slocket straight out of the box, which allows you to pair Coppermine compatible BX boards to run Tualatin cores
Edit
Yet another way to mod Tualatin CPU, to be used on a 440BX board. This time by physically modding the actual CPU, rather than using a commercial adapter which is how I would have done.
Edit2
Running a Lin-Lin socket converter through existing Slocket & into Slot-1 motherboard (
SOURCE)