The Superhero Database Classification number, or SHDB Class, is a number that represents the overall 'power' of a character. All traits of a character are used for calculating the Classification.
What it DOESN'T mean
This doesn't mean that a higher class would always beat a lower class character. But the bigger the difference in Class is, the more obvious it is who'll win in a fight.
How is this calculated
( INT^1.3 + (STR*0.5 )^2 + (SPE*0.5)^2 + DUR^1.6 + (POW + (SPS*SPL))^2 + COM^1.8 ) ^ TIER
Super Power Score and Level
Every Super Power has a score (SPS) that is used to calculate the Class. Each Super Power also has 3 levels (SPL). The level is set when connecting that Super Power to a character. The level determines the final score, of the Super Power, being used in the calculation.
Oliver has a bigger variety of arrows
Barton has compared to/beaten more powerful foes
Oliver has beaten more foes
Barton’s arrows are more efficient
Oliver wins
Hawkeye’s Origins is: He was abused by his Father and after his parents died, He was Raised in a Circus where He learned Archery, He actually started out as a Villain of The Avengers before becoming a Hero
Shrek = Meme God
Shrek = Green
I rest my case
Clint Barton: Not as Badly as you have, Mr. Queen
He carries frickin adamantium and vibranium arrows.
Plus an acid one
I love Hawkeye, unfortunately, until he was recently taken over and given new breath by Brian Michael Bendis (who gave him a place among the avengers as a real fighter) then Matt Fraction (who made him some kind of pop super spy which I enjoy reading), he was just "that bow guy". It's not so bad, but it's raw untapped potential. They even (gimmickly) made him Giant-Man for a time to try to give him more flesh (with no success). So we have it: Hawkeye has been interesting only for the last seven years (death, return, Captain America for one issue, then Ronin, great fighter, more personality, back to Hawkeye and finally an interesting solo title,...).
Green Arrow on the other side got what a great hero needs: an origin story (Sure, Wolvie didn't have one, but he's Wolvie): "Millionaire falls from grace after trip-gone-wrong in a savage island where everyone/thing wants to kill him". That's the speech for the latest Tomb Raider but it's an effective one: we have the impetus to act to change the world. Hawkeye was just a good archer who decided to do good "because" (look at this bio on Wikipedia, but you won't get more) while Green Arrow fell from his money bin and realized that he, too, could help.
Which became some sort of foundation for him: his joint series with Green Lantern made him a fighter for political rights, for change,... Green Arrow could've stayed the same old rich goatee dude in his ivory tower but decided instead to clean his city and tackle the reality of life.
https://www.superherodb.com/team-shazam-wizard-vs-team-cyclops/90-407949/#
Close quarters fight green arrow because hes a better fighter he's repeatedly fought deathstroke