From an artist's point of view, the fish has been a symbol of the Dada artists since the end of the WW1; in most any form, including being in photos. Perhaps the men posing with 'their' fish are ,perhaps giving you a sign that they are Dadaists...
Then again, you may be correct in that they just may be telling you that they do have a higher regard for fish or that perhaps they expect you to resemble a fish and thus be posed as their ultimate trophy catch...sort of a back-handed compliment for those seeking 'Trophy Wife/mate' status, but that does sound fishy... Send them a photo of yourself made up as a Mermaid, someone could get hooked...

So, do I have to Google Dada artists? I think I will as I am curious, now. I enjoyed your response. A mermaid, huh? I am afraid I left my mermaid costume at the dry cleaners last year and they lost it. :(
Trophy wife/ fishmonger wife, doesn't real have a good ring to it does it? I'd rather be on boat fishing along side the fella. I just want to be more important than the fish, is that too much to ask? ;)

I had a picture taken with that famous singer Tuna Turner once

Bad puns,that is great!! :)

THHHHHHPPPPPPTTTTTTT!

Just be glad it's only fish they are showin yas