Rigmarole
Yes, the mobilising test applies to you walking, etc. outside of the house, although this does not preclude you doing so in covered areas such as a shopping mall.
If you review the relevant descriptor in the Claim guide you will see that the phrase "avoid significant discomfort or exhaustion" is included.
Even where this is not explicitly stated, it is implied, which is supported by case law, that the physical tests must be repeatable within a reasonable period of time, although there is no clear definition of what a reasonable time is.
Gordon
Nothing on this board constitutes legal advice - always consult a professional about specific problems