Digging through rubble can not effectively be performed without both hands operating tools. When WiFi can let people dig faster I'll might reconsider your perspective. That is the smallest of concerns however, and again your lack of knowledge with rescues is obvious..
What I believe you were dickishly attempting to claim that certain non-operational issues, such as rescuer down time, can benefit from local's giving them access to their services. While that position has some merit one must consider that most services have data caps, usage fees, and overage fees. Additionally, rescuers may not understand local laws and customs which places liabilities on local users. In other words, you are effectively saddling an already devastated area with additional fees, while attempting to claim it's humanitarian.
When agencies providing services can both compensate locals for fees and cover their legal fees for any wrong doing by rescuers we can try to saddle the locals with the burden of providing communications. That time is not here, not mentioned, and completely ignored by people who lack perspective (like you).
Furthermore, logistics does not require local WiFi access for rescue operations. Not now, and not in the near future. In fact access of this type could hinder operations due to distractions. As with previous, this should be obvious to anyone with perspective. You want rescuers to be entertained at the local populaces expense. Typical, shallow, egocentric bullshit..