So the only person who doubts that amps matter is the OP, and everyone who answered said they did. What is the problem?
Amps, volts and resistance make an inter-related triad. Change one and the others have to change to compensate. Any two define the third and any two define the power. The power together with the mechanical details -- coil configuration, wicking, airflow -- and the electrical details -- series, parallel or a combination -- define the vape qualities.
Current is important, but altering the current does not necessarily change the vape quality. It usually will, but it can be arranged not to. It requires two variables to define power, and current by itself does not do so. Just as vaping cannot happen without current, it cannot happen without resistance and voltage. If you have current without resistance, then nothing will get hot enough to make vapour. Changing the current changes the voltage and power unless the resistance also changes, just as changing the voltage changes the current and power unless the resistance changes. If the resistance changes, then the vape quality will also change because the mechanical details -- the coil size -- change. So on its face, changing either voltage or current will change the vape quality, either because the power changes, or because the coil dimensions change.
This is the situation that we all know -- changing any one factor changes the vape. Current and voltage are both exactly as important as each other. If we want to change the vape, it doesn't matter which one we control, either one will change the other. They are exactly symmetric. But they are the inverse of each other. We can put coils in parallel and keep the voltage constant, or we can put coils in series and keep the current constant. One coil will always vape differently than two coils, but we can build two coils in either parallel or series and keep the power the same. Other factors being equal, two coils producing the same power will behave the same, and it doesn't matter if we do it by keeping the voltage constant and increasing the current or by keeping the current constant and increasing the voltage.