[autocorr]

I'm not the OP, but it is an important distinction, breath control (pranayama) is yogic.

While I can't speak for other traditions that feature meditation, at least in Theravada Buddhism, training of the breath is an essential part of the practice for the development of mindfulness (sati), beyond "observing the breath as it is." This gets de-emphasized in the modern vipassana movement focusing on "bare attention", but canonical interpretations of the Anapanasati Sutta [1] on the mindfulness of breathing to indicate that one only uses bare attention to "discern" long and short breaths, but "trains" oneself to become aware of the whole body, to calm bodily fabrication, and the rest of the items on the list. This is taken to mean that one can use right effort to breath in ways that are conducive to being aware of the whole body or ways of breathing that calm bodily fabrication, etc. So, while definitely not as gross as counting fixed durations like on the site linked, exerting oneself to influence the breath has a place in at least one very prominent non-yogic tradition.

[1] http://www.accesstoinsight.org/tipitaka/mn/mn.118.than.html (perhaps the second most important sutta related to meditation in the Pali Canon, next to the Maha-satipatthana Sutta [2])

[2] http://www.accesstoinsight.org/tipitaka/dn/dn.22.0.than.html