Hah. The limitations of Apple's supported hardware regime created an opportunity for people like yourself to enhance and liberate their otherwise locked-down computers. The Jobs dictatorship will never be forgotten! Apple have continued this narrow window of support in his honour.
My understanding was that the 4400 (7220 in Australia) was the basis for many of the Mac clones and possibly the TAM(?)
If you were to get Tiger running on the 4400, Mac clones and/or the TAM, you would make Vintage Mac headlines!
the 4400 TAM and many mac clones (and the 3400-Kanga) are all PowerStar machines indeed based around the PSX/PSX+ chipset, but specify the 4400 does not boot OS X sadly, (the TAM is just a 5500/6500 mated to a 3400c LCD panel, in a fancy case) while these machines are all PowerStar macs, they are broken down into their own architectures, that clones may copy and use.
the 4400 and more or less all the lower end clones are whats called Tanzania based machines and all share the same Open Firmware model identifier of AAPL,e826 where as a TAM/5500/6500 is AAPL,e411 which means its a Gazelle based machine no clones where ever based off of it, and the 6400/5400 for that matter are AAPL,e407 which is also known as alchemy, again no clones IIRC) from what I have seen all the PowerStar based clones have been Tanzania based machines. from the extensive research I have done the alchemy Gazelle Hooper and Kanga are all the PowerStar based macs that are able to boot some version of OS X, with Hooper/Kanga having the best support.
I Have seen vague reports of OS X on Tanzania based macintosh clones, but never anything on a 4400 sadly, and in my own extensive testing I have not been able to get any version of OS X booting on my 4400
whats probably not helping matters is I have a 160Mhz 4400 (160Mhz models being more obscure since they where only sold in Europe) which are from what I read slightly different to the 200Mhz 4400s im not sure what the exact differences are tho sadly, what I do know is the 160Mhz has a gestalt ID of 514 where as the 200Mhz units are apparently 515, and that the 160Mhz 4400 is said to have a 96MB RAM ceiling however my 160Mhz 4400 is happily working with 160MB of RAM...

both have OF model identifiers of AAPL,e826 of course since they are both Tanzania machines, but otherwise I dont know how they differ,
I do vaguely remember reading something about the different gestalt IDs in the dev documentation for the LPX40 Reference board apple produced (which was what the 4400 was based off of more or less) so ill have to check the dev docs for that out again and see if it pertains to anything, even if its something minuscule this stuff can throw big wobblies when it comes to this sort of stuff so who knows...
I hope this all makes sense! (why do these write ups always take over an hour to write up

)