You wouldn't expect there would be much difference, especially with .223 loads.
I loaded some 55gr HP and 55gr flat base spitzers with the same powder/charge and got less than a 1" difference in groups at 100 yards.
I also load two different bullets for the .308, one round nose and the other a flat base spitzer, same powder/charge, same bullet weight.
At 100 yards both give 3/4" groups but the round nose groups are (best I remember) 1 1/2" high and 1 3/4" left of the spitzer.
In a 7mm Rem Mag, using the same powder/charge I ended up with groups within 1" of each other with 170gr RN, 160gr SBT and 150gr SBT.
My best answer is try it and see.