Interesting, will have to look at the site and see what they have. As to the two rounds, I actually have them in my design book, but never pursued them for my own reasons.
Best I can tell, the 357 Max rimless made from 223 brass could be made just as easily from 357 Max brass and turning off the rims. Fireforming a RIMLESS case without shoulder requires a "special" rig because you don't have the rim or shoulder to hold the case in place. And you couldn't fireform in an AR without shutting off the gas system, so you are looking at getting their brass. Same goes for the 416x39. Loaded length for the 357 Max is 1.96" and for the 416x39 using a 350 gr bullet should end up around 2.25" (same as .223)
IMHO, headspacing off the case mouth is not ideal, but it can be done. I used the 30 Rem case for the 358 CQB (it takes both 9mm (355) and 357 bullets), but found that the shoulder was too small for headspacing. Performance approached that of the 357 Herrett, which is a decent deer round. Problem is that they (the 358 CQB) would not work in 223 mags. This 357 Max Rimless should, EXCEPT, that when you go straightwall, you hit the "hump" in the front end of the mag and then you start bulging. Even the 338 Spectre does this, and from best I can tell you can't go bigger than 30 cal before running into this.
The 416x39 should be the 7.62x39 blown straight. The 416 bullets are all quite heavy and as such will eat powder volume, and the round will likely end up performing like a Whisper (R). Nothing wrong with that, but I would have gone with .411 to have the option to use the JHP pistol bullets along with the heavy rifle bullets. Again, magazines are the tricky part, the 7.62x39 mags I don't think will work, but they may. The 223 mags tend not to like the 7.62 based round at all...
The rounds are good rounds, the 357 holds great promise, and I looked at these myself. Getting them to feed from the magazine will be the greatest challenge. Typically you will find less than 10 rounds will work, after that the mag starts bulging too much. For deer, the 357 should work well, and as an alternative to the Whispers, the 416x39 should work just fine.
Now, I do have a box of 44 Mag Rimless sitting on the shelf in the shop, these fit in AK mags, and there is an existing wildcat called the 357/44 Bain and Davis. If they ever manage to get an affordable AR lower that takes AK mags, we can make some fun rounds with it (or just the 44 Mag Rimless, should be quite the power house)
Marty ter Weeme
Teppo Jutsu LLC
Edited because I sounded like a grumpy old bastard and didn't want to come across like that ;-P and to answer a few of the questions in the other posts.