I've used bullets on both sides of the argument with good results. The main thing will always be shot placement, but bullet performance is also important. My results I'll share are from dead deer, so the bullet did it's job in each case. How it did it varies.
A friend and I used Nosler E tips on whitetail last year since our 300 win mags were already dialed in with them from our moose hunt. Another hunter also used my rifle on another deer. My buck was facing me and dropped in it's tracks, the bullet penetrated awesome and mushroomed perfectly. The other two bucks the bullets exited. Both bucks ran around 80 yards after the hit before dropping. In both cases there was almost no blood trail. The entrance and exit were small enough they just didn't leak much. Not a bullet failure, just a result of what the bullet is designed to do. Reliable but not extreme expansion and extremely high weight retention. My 180gr bullet I recovered weighed 179gr.
On the other end of the spectrum I've used Berger VLD hunting bullets and Hornady ELD-X bullets. My buddy used the same 300 win with a 185gr Berger and shot a muley at 12 yards this season. Due to brush he shot it a bit further back than is ideal, but still got the back of the lungs. That bullet exploded inside the buck and did not exit. That deer ran about 400 yards down the mountain and he shot it again to finish it when we spotted it. I don't know how it made it that far honestly, but it did. There was no blood to follow for the majority of that distance, but there was soft ground and we followed the footprints in the dirt. Only at the end when the chest cavity was filling up did I find any blood. There was a tiny entrance wound and no exit. My buck was shot with the 185gr Berger facing me at 216 yards and only made it 40 yards. On another deer in 2017 I had a 143gr ELD-X fragment completely on a buck's shoulder, but the fragments reached vitals and killed him instantly. It was moving fast when it hit. I shot that buck with a 264 win mag started at 3240fps. I had excellent performance on a doe at 321 yards with the same set-up and a broadside shot.
I think these bullets are best when started at lower velocity. That can be accomplished with smaller cases, ligher loads, or heavier bullets. I've seen very good results on several deer with the 140gr Berger VLD started at 2900fps from another 264 win mag. I can't say I've shot anything with that set-up inside 150 yards though. They do the job, but rely a lot on the fragmentation killing the animal fast enough no blood trail is needed.
Moral of this story is that I like the Accubond's terminal performance better than either other bullet. The Accubond's I've used have usually exited and left a decent size exit wound. They open very fast on impact also to create a good wound channel. I've shot everything from coyotes to elk with Accubonds and seen similar results on all. The one thing I'll say on them is that they form and hold a large mushroom. This big frontal area can limit penetration compared to an E tip or similar bullet. I've found some perfectly mushroomed ones under the hide on quartering shots.
I do notice that I can make hits easier practicing past 450 yards in various conditions with the Berger or ELD-X bullets. I don't know if it's just the effect of wind or if the bullets are just more consistent at longer distances. Accubonds or E tips do well, but not quite as well. I've used both in my 264 win mags and my 300 win mag at different times. I'm leaning toward going back to the Accubond in my 300 win mag. I seldom shoot game past 400 yards, and the Accubond does great out past that. That 300 seems to be the "all around" rifle that goes on a lot of my western hunts when terrain and hunting strategy will vary throughout the day.
I'm getting a 6.5 Creedmoor and will likely try the ELD-X in it. I think at Creedmoor speeds it will act similar to the Accubond. My 264 I'm still not sure. The 140gr Accubond never failed me, but neither has the 140gr Berger. I think I'll likely stick with my mild load at 2914 to save my barrel and run the Berger unless I see it fail someday. That's not the rifle I'm packing in brush country, I use it in open or mixed terrain where it's windy and shots can be long. In those conditions I can often wait for ideal shot angles and the Berger does great.
Long answer but I hope it helps. Put any of them in the right place from the right angle and they work well.