Even if you set aside a dogmatic devotion to non-interference, practical considerations play an important role in when and how to intervene. A situation that would require the intervention of dozens of ships may simply not be a practical undertaking.Anwar's argument rings of "I'll only save you if it doesn't cost me time, money or resources; otherwise it is not worth saving you." It is a very self-centered attitude, not at all worthy of a society which places great value on sentient life, such as the United Federation of Planets.
That practicality may not even be cold self-interest. Based on what we've seen in Next Generation, humanitarian missions are fairly common for star ships. If a given ship is on a time-sensitive mission to deliver a vaccine to a planet where billions are threatened by a disease, the decision to continue that mission rather than divert to assist in the prevention of a natural disaster that would effect a planet whose population is in the millions is based on practical considerations.