You are correct in your assumption that analog vs digital meters are largely the same from a performance standpoint. However, there are a few differences that may or may not apply to you.
Digital meters tend to be a little bit easier to use when you are reading a signal that only varies a little bit over a large range. Since it is digital, it is generally easier to pick up on small incremental changes vs an analog meter with a needle that may only move very slightly.
This means that the inverse can be seen as an advantage on analog meters: A signal that is pulsing will be shown on an analog meter as the needle swinging back and forth between the two extremes, showing the range. On a digital display you will just see the numbers changing constantly, so the range may be a little bit harder to pin down.