Ahhh yes..the old brush busting theory and if you have a heavy round nose bullet just shoot at it through cover...Sorry..couldn't help myself on that one

I've owned (2) 7-08's before and really never cared for the round. If I was going to go with a 7mm non magnum..it would be the one based on the 30-06 case...the 280, There isn't enough recoil difference to amount to much and the added case capacity is there if I want to reload to higher pressures. Not saying the 7-08 isn't a good deer round..or you couldn't take an Elk with it because it is and you can..but it is already maxed out and lags behind from the start as compared to the larger cartridge.
Mac
Would love to try a 280, but would probably never purchase one. Looking at Chuck Hawks recoil table for example :
Note : I don't reload.
280 Rem. (140 at 3000) 8.0lb rifle 17.2 recoil energy 11.8 recoil velocity
30-06 (150 at 2910) 8.0lb rifle 17.6 recoil energy 11.9 recoil velocity
7MM-08 (140 at 2860) 8.0lb rifle 12.6 recoil energy 10.1 recoil velocity
Short Range Trajectory
280
Premier® AccuTip™ 140gr 0.1@50 0.6@100 zero@150 -1.8@200 -4.8@250 -9.2@300
30-06
Premier® AccuTip™ 150gr 0.1@50 0.7@100 zero@150 -2.0@200 -5.4@250 -10.3@300
7mm-08
Premier® AccuTip™ 140gr 0.2@50 0.7@100 zero@150 -2.0@200 -5.4@250 -10.3@300 (interesting same as 30-06 with less recoil)
Long Range Trajectory
.280
Premier® AccuTip™ 140gr 2.5@100 2.9@150 2.1@200 zero@250 -3.4@300 -14.8@400 -33.0@500
30-06
Premier® AccuTip™ 150gr 1.7@100 1.5@150 zero@200 -2.9@250 -7.4@300 -21.5@400 -43.7@500
7mm-08
Premier® AccuTip™ 140gr 1.7@100 1.5@150 zero@200 -2.9@250 -7.3@300 -21.1@400 -42.5@500
For an all round Deer cartridge in various terrain, I'll stick with the 7mm-08 (Since all my shots are well within 300 yards there is just not enough difference for me to consider a change) and the milder recoil from the 7mm-08 makes it a pleasure to shoot.
For larger critters I'd probably stick with an '06