I assume from your explanation you mean enamels as opposed to artist type oil paints.
Over the years I've seen the trend go towards acrylics.
Several reasons.
Acrylics are easier to clean from a regular brush and airbrush.
Enamels and their cleaners/thinners have an odor that many people do not like.
Acrylics come in a larger variety of colors.
Acrylics are more available. Especially if you include craft paints.
Acrylics tend to dry "flat". Desirable to almost everyone except maybe car modelers.
Acrylics are easier to remove from a model if you need a "do over".
In my own experience acrylics have a longer shelf life and are more likely to be successfully "reconstituted" if a jar does go bad.
Its also been my experience that acrylics are more forgiving when diluting for an airbrush.
On the other hand
Enamels tend to cover better, especially hand brushing.
Enamels are more resistant to handling and scratches.