A machine (bow) is designed to do certain things. Each is designed differently. Each is designed ( whether on purpose or not) to react in different manners, fast, slower, shorter longer, whatever.
It is not so easy to assign a simple answer to this question because there are variables, especially with "stick bows" which have no actual "stop" like a compound machine. Drawing a heavy bow to its best draw length will equal certain response, but drawing it further may or may not improve upon that response even though it is then heavier.
Adding arrows to the discussion, the weight of the projectile will greatly influence the amount of energy transferred from the bow to the arrow as will resultant imperfections in the arrow flight and recovery from any deflection of the shaft upon release.
Also, from everything I have read, the math calculation for KE ( kinetic energy) involves velocity squared or multiplied by itself, giving greater weight to the speed of an object than to its mass.
As stated above several times.... too many variables
ChuckC