My cats have lost lots of claws, but have never had a bleeder. My first dog however was quite prone to it. As long as he pulled the claw clean I used to just put his paw in cold (ice cold water), to stop the bleeding.
It sounds like an aweful lot of money for a pulled claw, but I haven't seen it and the vet has. It shouldn't take that long for it to heal if there's no infection. You could try another vet if your trouble continues. If they did a blood panel, there might be some answers there if the cat is having trouble healing.
Cindy
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