Usually there's quite a bit of forgiveness in cone shape for them to work OK. If they're fairly close analogs, I don't think the new cones are necessarilly the problem. Possibly the races are worn or damaged by the over-tight condition, maybe your axle is bent, or you might have loaded an extra ball.
Check everything you can first, before you go crazy looking for a cone that may not solve your problem anyway.
BTW- if it's basically OK but just feels a bit rough, that might be a cone quality issue, but may go away as the balls break in their wear tracks.
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