Aliasing prefixes (not namespaces) in XSLT

I want to change the prefix in the output from the prefix in the stylesheet itself.

XSLT file:

<stylesheet version="1.0" xmlns:a="nsA">
 <template match="/">
  <a:out/>
 </template>
</stylesheet>

What I get:

<a:out xmlns:a="nsA" />

What I want:

<b:out xmlns:b="nsA" />

Note that I want to change only the prefix, not the namespace. The element namespace-alias will translate only the namespace, leaving the prefix intact.

Bonus points if it is possible to remove the prefix completely:

<out xmlns="nsA" />

Note that the XSLT elements are not prefixed and the output elements are prefixed. It has to remain like that. I know that the problem could be solved with prefixing XSLT and un-prefixing output elements, but it's not an option. The to-be-output elements must have the prefix as provided in the stylesheet, only in the output should they be changed.