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I think it generally has to do with the waters the fish was living in. Carp is traditionally a fish that survives in muddy, silty water. Those can taste like crap. If you catch one in a steadily flowing stream with relativity clean water, those fish taste much better.
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My parents are from Hungary and carp is commonly eaten there. They prepare it many ways, but the best is probably
Fisherman's Soup or known in Hungarian as halászlé. It's originally a Hungarian dish but is eaten throughout Eastern Europe. It's delicious with carp raised in clean water, and even better when they're fed a good diet.
There is no good carp to be had here in the U.S., but the soup/stew can also be made with catfish, and in some regions of Hungary that's what it is made with only.
I've caught large carp in Canada where I grew up and the carp is so oily and fishy in taste that it is essentially inedible. Yes, you
can eat it, but it's not something pleasant.