I guess I can see it from the perspective that the rules on page 8 are a final say as to your movement being over and movement points being lost. There is another caveat however:
on the FAQ it states:
Q: When can a character perform actions during a phase?
For example, if a player with the ally Duke (“discard to
immediately restore your Sanity to its maximum”) draws
an encounter and has to roll a die and lose that much
Sanity, when can he discard Duke to restore Sanity: not at
all once the encounter card is drawn, before the roll, or
after the roll?
A: Actions can be performed at any time during their
listed phase as long as any given conditions are met.
once an encounter is drawn, it must be resolved
before any more actions can be performed. So, in the
case of Duke, you can use him before or after drawing an
encounter card, but if you draw the encounter card and it
inflicts Sanity loss that reduces you to 0 Sanity, you go
insane before you can use Duke. Flesh Ward is one exception
to this rule because it prevents a Stamina loss and is
intended to be used in response to such events
The bolded part is what could also lead to believe that you can use the cycle or map anytime during the movement phase.
Jhaelen you would interpret it as his movement phase is over, this is not quite true as the entire movement phase doesn't end until all players are done with their movement phases. Granted the player wouldn't be able to use the map or cycle on any other turn of the movement phase but his own...
The part as long as any given conditions are met could be that there is an assumed condition of: "you need to be able to spend movement points" in which case you wouldn't be able to use the cycle and map afterall.
Still not as clear as I'd like, but clear as it might get for FFG (KW especially). Would be nice to see an official posting or FAQ question about this.
In conclusion perhaps the 'intent' of the items is the best guide here. I agree with you that the items are basically just intended to increase movement, but not allow a go-stop-go situation.
And I agree with you this forum software blows (cuz now I'm stuck in italic, even clicking it off wont make it go away ARGH!!)