At the end of the day it is you who must make the choice which will depend on your particular situation. In my opinion, your amp will make a difference. How could it not?
I have always preferred active over passive for a few reasons. To operate passive monitors, you connect the line-level outputs of your mixer to a power amp and then run speaker wire to the monitor. Active monitors are powered internally by amps that are matched exactly to its transducers.
Basically, speakers turn power into motion. A speaker is also a generator that converts return cone motion into electrical impulses which travel back to the amplifier. Called "back EMF" (electromotive force), this energy can be used by an amplifier to "brake" (damp) the cone's motion and reduce overshoot. However, tightly controlling a passive speaker cone via damping isn't easy. First, your external power amp has to deliver massive current to the loudspeaker – and sink the same amount of current coming back. Second, because speaker wire has its own capacitance and resistance, any significant length of even the most exotic cable compromises an amplifier's ability to damp back EMF.
Passive monitors have no control over input power. They have to rely on some sort of circuit or fuse to keep the transducers' voice coils from toasting. When a passive system's single amplifier has to reproduce the whole audio spectrum, low frequencies rapidly "use up" the amp's headroom. As higher frequencies "ride along" on lower frequency waveforms, they can be chopped off or distorted even though the high frequencies themselves would not be clipping.
Sorry I got all technical but I believe that active monitors have far more plusses than passives do. Its all just my opinion which is based on my experiences and research. Formulate your own.
Hope that was somewhat useful.