A 5.56 is a .223 and vice versa. There is no dimensional or technical difference between the two. Therefore, you can’t really draw performance generalizations based only on the printing on the ammo box.
What does differ is how they are loaded and with what bullet. Both bullet and powder are going to alter your consistency and POI.
It isn’t technically correct to say that all 5.56 ammo is higher velocity than .223, BTW. This is an urban legend based on the assumption that everything labeled 5.56 is made to US military specs. Which it is not.
There is no reason why commercial ammo can’t produce velocities like mil-spec ammo. Hornaday’s Superformance and many handloads do just that–produce velocities at or above the mil-spec minimums for 5.56.
The bottom line is that no two brands are going to produce exactly the same accuracy. Also, keep in mind that velocity isn’t everything. Very, very rarely do my fastest handloads produce the best accuracy. Bullet selection plays a VASTLY greater role in overall accuracy.
One last point and please don’t take this as a dis on your shooting abilities. I’m only bringing this up as a factor to consider. Depending on how well you shoot with it, using a holographic site at 100+ yards, may put you within the margin of error of one or more brands of ammo. By that I mean that you won’t be able to discern a performance/accuracy difference between brands because, essentially, the ammo is capable of accuracy in excess of the consistency you can produce given the limitations of your optics.
Again, I’m not commenting specifically on your marksmanship skills. I’m just saying that the limits of the sighting apparatus used are part of the whole equation.
Grouse