OP asked for banks that would close without any cause. Does that apply to all of the ones listed? Barclays is the closest from what I've seen on the boards. It's not completely without cause, but they seem to be hypersensitive to additional inquiries and new accounts according to several people's experience. Outside of the credit crunch, I don't recall seeing a lot of threads about other banks randomly closing down accounts.
ETA: Rereading I see OP also asked about too many new accounts/inquiries. But I read it as being who is hypersensitive. Barclays is the only one I really recall reading about being ovely sensitive.
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