OP, your question is like saying "which is better, Ford or Chevy?" Both question are going to get you plenty of opinions.
The standard carbine buffer is what was originally spec'd for the AR carbine, and for the original/predecessor of the M4 Carbine. My carbine-length ARs run OK with standard buffers.
The H buffer, which weighs 4 oz compared to the standard buffer's 3 oz, can help smooth out the "feel" of a carbine-based AR. The M4 originally came with a standard buffer, but issues with "buffer bounce" in sustained fire led to the introduction of the H buffer. Later, feeding issues (which also led to development of the M4 feed ramps) prompted introduction of heavier buffers, and the H2 buffer became standard issue for the M4.
H2 buffers, used with standard springs, should work ok with just about any carbine, but may give you grief with light loads. I am still "getting around to" getting an H2 for my M4 SBR, but that SBR lower works great with a standard buffer with everything - including my 10.5" 9mm upper.