Serious problem with some fans here.
(Not pinpointed to anyone in particular)
So, Do bounties reflect power/strength?
My View: Not fully.... Bounties in first place are allocated based on the threat you pose to the World Government, i.e find the One Piece and know about Void Century (Revolutionary, yonko and other strong pirates like Luffy) Secondarily, the amount of harm you caused to innocent civilians(Like Jack, Kidd etc...) you could be an average pirate yet kill many weak people... this will give you a high bounty.
Strenth MAY be considered as a tertiary criteria that comes automatically with these two.
E.g that Bounty doesnt Matter:
Teach ( Zero bounty) VS Ace
Crocodile VS Luffy
Well, When luffy didnt have any bounty he beat Alvida Arlong Buggy.... who all had bounties.
So, what i conclude is that a person having a rather low bounty could beat someone with a higher bounty.... just dont jump to dumb conclusions: "No his bounty is less he'll lose for sure."
AND please do not bring senseless/immature points such as:
"OH so you mean Usopp chopper nami could beat Big Mom then? "
Your opinions please :)