No, the age of distant galaxies that appear young due to the lookback time for light and a galaxy that is time dilated by recession velocity alone would not be identical.
When we observe distant galaxies, we are actually observing them as they were in the past because the light from these galaxies takes time to reach us. This is known as the lookback time for light. So, if we observe a distant galaxy that appears young, it means we are seeing it as it was when it emitted the light that is just reaching us now.
On the other hand, the recession velocity of galaxies is a result of the expansion of the universe. The recessional velocity is the velocity at which a galaxy is moving away from us due to the expansion of space itself. This velocity is not related to the time dilation effect.
Time dilation due to the recession velocity alone would affect the rate at which time passes in the galaxy relative to us, but it would not change the age of the galaxy itself. The age of a galaxy is determined by the time that has passed since its formation.
So, in summary, the age of a distant galaxy that appears young due to the lookback time for light would be different from a galaxy that is time dilated by the recession velocity alone. The former is a result of observing the galaxy as it was in the past, while the latter relates to the relative rate of time passing in the galaxy compared to us.