if we really wanna try and somehow test the overall dps, lets try
there are many factors, weapon, is the main one ofc, but each piece in ur gear changes the result
for example, lets say i have melee gear, which means
earthstone, dmg rings, dmg charm, using frenzy
which weapon will fit the best? ofc, the sword
if a sword does 400 dmg per 2 secs, and the axe does 500 dmg per 3 secs, it'll 'meet' each other at some point, and at that point, the sword will outdps the axe
but for example after 6 secs
the sword hit 3 times
the axe hit twice
sword - 400x3 = 1200
axe - 500x2 = 1000
ofc those are both made up numbers
another important factor that no one considers, is the duration of the fight, im pretty positive that with the right speed and dmg (in other words, dps) warriors can easily outdps rogues on the long fights (unless rogues got the dl dagger, and then its impossible

)
ive been outdpsing rogues on elixirs, but i outdpsed rogues and rangers that are higher lvls than me (and also warriors, the casters in my clan are way higher than me, and very well built) on longer fights
there are many, many factors, that if someone could consider each one, and test, and do the right math to test it correctly, i believe that someone would be the best built player around
weight which leads to less or more energy
skills
time
duration of fight
dmg
speed
effects (so as lures)
even the move speed can be a factor while lvling, move speed can be used as boots, which will prob lead to less energy or dmg or armour or something, which might lead to dying and wasting time on idol
even if using several elixirs, or one, due the timer, is a factor
since we're all lazy to do that, lets just stick with the weapon we like or the one that fits the most in our opinions