At 4th level, a monk gains a pool of ki points, supernatural energy he can use to accomplish amazing feats. The number of points in a monk's ki pool is equal to 1/2 his monk level + his Wisdom modifier. As long as he has at least 1 point in his ki pool, he can make a ki strike.
Ki leech costs 0 ki points to use and has similar wording
You place your spirit in a receptive state so when you confirm a critical hit against a living enemy or reduce a living enemy to 0 or fewer hit points, you can steal some of that creature’s ki. This replenishes 1 point of ki as long as you have at least 1 ki point in your ki pool. This does not allow you to exceed your ki pool’s maximum. This ability does not stack with similar abilities (such as the steal ki ability of the hungry ghost monk). This spell has no effect if you do not have a ki pool.
Same with Ki Focus bow
At 17th level, as long as he has at least 1 point of ki in his ki pool, a zen archer may treat arrows fired from his bow as if they were ki focus weapons, allowing him to use his special ki attacks as if his arrows were unarmed attacks.
So my question comes down to this. Since for the ki strike you do not spend a swift (or any other kind) of action to use, as long as you have one point its active, does this also apply to these other two abilities since the wording is the same?