Focusing on the breath moving past the lip or nostrils helps in the beginning perhaps, but the expansiveness of the four steps of Tetrad I altogether mean that nose-focus &tc. are a crutch, not a meditation object to become absorbed in.
I think the commentarial literature makes missteps here.
176. And here both the gross and subtle state and also [progressive] tranquilizing should be understood. For previously, at the time when the bhikkhu has still not discerned [the meditation subject], his body and his mind are disturbed and so they are gross. And while the grossness of the body and the mind has still not subsided the in-breaths and out-breaths are gross.
171. (iii) He trains thus: “I shall breathe in … I shall breathe out experiencing the whole body”: he trains thus: “I shall breathe in making known, making plain, the beginning, middle and end of the entire in-breath body. I shall breathe out making known, making plain, the beginning, middle and end of the entire outbreath body,” thus he trains. Making them known, making them plain, in this way he both breathes in and breathes out with consciousness associated with knowledge. That is why it is said, “He trains thus: ‘I shall breathe in … shall breathe out …’”
176. And here both the gross and subtle state and also [progressive] tranquilizing should be understood. For previously, at the time when the bhikkhu has still not discerned [the meditation subject], his body and his mind are disturbed and so they are gross. And while the grossness of the body and the mind has still not subsided the in-breaths and out-breaths are gross. They get stronger; his nostrils become inadequate, and he keeps breathing in and out through his mouth. But they become quiet and still when his body and mind have been discerned. When they are still then the in-breaths and out-breaths occur so subtly that he has to investigate whether they exist or not. 189. Here are the stages in giving attention to it: (1) counting, (2) connection, (3) touching, (4) fixing, (5) observing, (6) turning away, (7) purification, and (8) looking back on these. Herein, counting is just counting, connection is carrying on, touching is the place touched [by the breaths], fixing is absorption, observing is insight, turning away is the path, purification is fruition, looking back on these is reviewing. 197. The navel is the beginning of the wind issuing out, the heart is its middle and the nose-tip is its end. The nose-tip is the beginning of the wind entering in, the heart is its middle and the navel is its end. And if he follows after that, his mind is distracted by disquiet and perturbation according as it is said: “When he goes in with mindfulness after the beginning, middle, and end of the in breath, his mind being distracted internally, both his body and his mind are disquieted and perturbed and shaky." Then, fixing his mind on the place normally touched [by the breaths], he should proceed to give his attention to that. 210. These in-breaths and out-breaths occur striking the tip of the nose in a long-nosed man and the upper lip in a short-nosed man. So he should fix the sign thus: “This is the place where they strike.” 204. When someone gives his attention to this meditation subject, sometimes it is not long before the sign arises in him, and then the fixing, in other words, absorption adorned with the rest of the jhána factors, is achieved.
When they are still then the in-breaths and out-breaths occur so subtly that he has to investigate whether they exist or not. When he goes in with mindfulness after the beginning, middle, and end of the in breath, his mind being distracted internally, both his body and his mind are disquieted and perturbed and shaky. 186. The first tetrad is set forth as a meditation subject for a beginner; but the other three tetrads are [respectively] set forth as the contemplations of feeling, of [the manner of] consciousness, and of mental objects, for one who has already attained jhána in this tetrad.