Would small base dies be better ?
A small base die will reduce the case diameter approximately .002 to .003 more than a standard die. "AND" it will also push the case shoulder back .003 to .003 "MORE" than a standard die.
A small base die will size the case back to minimum SAAMI dimensions, meaning size the case to the dimensions of a new unfired case.
But chambers and dies vary in size, example I have a standard Lee .223 die that will size the case smaller than my RCBS small base die.
In a semi-auto the resized case should be .003 to .005 smaller in diameter than its fired diameter. This allows the case to spring back from the chamber walls and extract reliably.
The AR15 5.56 chamber is approximately .002 larger in diameter than a .223 chamber. And this is why the vast majority of reloaders can use a standard .223 die and "NOT" need a small base die.
Bottom line, start with a standard .223 die and if you have extraction problems then get a small base die.
If you have not purchased you resizing dies yet I highly recommend the Forster full length benchrest dies with the high mounted floating expander.
Below almost all military rifles have a larger chamber than a commercial chamber. BUT some target AR15 barrels "might" have different dimensions to improve accuracy.
Some .223 cases have a thinner flash hole web like pictured below. And the primer pockets will become over sized very quickly and should be avoided if reloading.