if you move the same mass at the same speed, the recoil will be very close. Variation in a few grains of powder isn't going to amount to much in the overall recoil energy.
The 7-08AI will never come close to matching the 284 for velocity. The case is simply too small.
If there are concerns with pressure in the 284 (not uncommon), go to a larger case.
280's, 280 improved, 7RSAUM, and WSM's are very popular because you have the case capacity to hit 2900fps without much fuss. Faster is of course possible but that can be tough on bores.
I built a version of the 280improved which I call the 7 Mystic. Works great, excellent speed. Very accurate. I did this when there was a "no magnum" clause in F class and I had a solid supply of 30-06 brass.
If the chambering is done properly, rebatted rim case will show no more pressure case expansion then a full rim. The key here is that pressures are so high, something is moving in the action allowing the case to stretch. Or expanding the brass beyond its elastic limit - very high pressures
It can most certainly be done and shooters have reported hitting 3000fps. Tuning was wonky but it got that fast. Don't know about the brass but I doubt it would have survived more then a couple of firings.
The 284 should be a 2800'ish case with the 180's. The Shehane closer to 2900fps. Quite a number of shooters have found these nodes to be superbly accurate, dead reliable for tuning.
Now don't get me wrong. Speeds are all over the place with some 284's going faster then Shehanes. Just whatever the tuning of the barrel ends up being but the speed range is about the same.
for the 7-08AI, the 162/168gr family is likely ideal. Should reach 2900fps in a long barrel. 180gr likely around 26/2700fps.
There is another great node in this range so not the end of the world to go a bit slower. More wind drift - YES. More bore life and less recoil - YES.
Eeny, Meeny....
Jerry