Moving twice with momentum question

Ok I was thinking about this a little more and had 2 questions.

Would you rule that the momentum spend to move an extra zone (not keeping the initiative, just the bonus movement) also not requiring a second roll?
–came up in a duel test that it could bypass a more difficult zone ‘for free’.

Also, another question that came up is whether asset movement in a situation like a duel should be a contest against opponent roll (this feels wrong to me, but players might prefer the odds here) rather than a base 2 difficulty, since it is assumed to be actively opposed. Feels like too much rolling to me, but the rules can be interpreted this way.