This is true, but different drivers have different strengths.

Generally speaking, dynamic drivers are better at producing rich low frequencies and typically BA drivers are better at obtaining a lot of detail but within a much smaller frequency range than dynamic drivers are capable of, which is why we often see earphones with multiple BA drivers.

That isn't to say that a BA driver can't have decent bass, this is not true, nor is it that dynamic drivers can't produce good high frequencies, just that each driver type has different strengths and weaknesses so to say that the driver type doesn't impact the sound or type of sound you're getting is true, but not entirely so.