It's a tough topic to discuss because of the false histories and thirdhand anecdotes. When I was in Iraq it was not uncommon for a Pfc to insist the guy he was shooting at must be all hopped up on morphine soaking up all those wimpy 5.56 bullets. Then you get to the house and gosh darn it, by the bullet impacts behind the window, they must have all gone clean through! And what's more, the scoundrels were using sponges to mop up all the blood from the dozen rounds the boot swore they pumped into the Iraqi insurgent who on average is just over 5'5".
Then as a team leader in Afghanistan (and the Mojave Viper workups) when you're standing up watching the rookies do their first fire and move drills in the desert you see the tunnel vision. You see an automatic rifleman hit a rock 10' in front because they forgot the optic sits higher than the bore. You see someone miss a range estimation even with the fancy ACOGs and drop all their rounds 30 yards short or 100 yards long. This is why we have a 13 week boot camp, an 8 week infantry school, and then all the unit training and predeployment workups. There's a lot of knots to work out even after all that.
When I went to college, I had a professor who served as an infantry officer for 3 tours in Vietnam and went back as a reporter afterwards, had pictures from the last days of Saigon. Good guy. He also saw the same kinds of things, people shooting way high or dumping rounds into thick cover and being shocked they didn't get the guy, not cleaning rifles properly (the propellant debacle and lack of appropriate cleaning kits included!), being too burnt out to remember the week of training they had with the new rifle.
But, easier to blame new rifle. Smaller bullet, plastic parts, should have been a big honking bullet in a 14lb wooden rifle. Only, Vietnam had a fair share of house to house fighting, and if you think an M16 is long an M14 adds another half foot to your musket, not great for fighting in Southeast Asian cities like Hue or Hanoi. The recoil is stiffer, which means more shooter fatigue. Larger and heavier means it's harder for your green recruits to master, and they tire faster carrying the rifle. Plus the ammo, a 20rd M14 magazine weighs 1.5lb, a 30rd colt mag weighs about 1.1lb, and when you multiply that across the entire log train where you're helicoptering ammo, rations, and batteries in that adds up quick. Or consider that ayou can get 840rd of 5.56 (on clips, in bandoliers) into an ammo can vs 240 (30cal) or 320rdof 7.62 into an ammo can. It wasn't that subpar training lead to subpar performance, it was the newfangled rifle, which is why (once the aforementioned powder mixup was solved) that died out a bit and "poodle shooter always jams" became kind of a shibboleth for people who had not taken one to war. At least, that was my impression when i was issued one.
Don't get me wrong, if we'd gone with 6 or 6.5mm cartridge I'd have been just as happy, but at no time in my career did I ever want an M14.
As an aside, the designated marksman's rifles are a great benefit to everyone. Even just an accurized M16 goes a long way. ACOGs are a big help, but out Mk12s had a 3.5-10 Leupold that really helped when we needed good eyes in overwatch and only had one pair of binoculars.
I guess in summary, dropping a new weapon system in mid-war is guaranteed to have some kinks.