Also more or less true, at least for armor. Bronze is, however, very heavy and not very good for weaponry (where it’s really no better than a decent iron).
I would note that the chariot was a maintsay of low-level tribal politics even in the ancient world. Just because the common folk were one short step above the stone age didn’t mean that the elites couldn’t get a sizable portion of bronze to use for killing tools. A second major effect of the iron age was that it improved agricultural tools significantly with even small amounts. This increased populations and gave them the means to arm themselves. They could also support more specialists: one major reason Rome was so successful is that they developed more reliable methods of ensuring adeuqate equipment. The result was that Roman soldiers frequently survived weapon hits and wounds and were fully kitted-out for battle.