The words after Edison Base Screw Fuse Panels could use some work. It is correct in stating that a fuse with a value higher than that of the conductor could be inserted into the fuse holder. For example a 30 amp fuse could be installed for a #14 AWG, 15 amp branch circuit.
The last sentence is incorrect because it states “This will always blow when overloaded, either by loads imposed upon them or under dead-short conditions”.
The problem with over sizing the fuse compared to the conductor is that it will not always blow when overloaded. A 30 amp fuse inserted when the conductor rating is only 15 amps will allow up to 30 amps of current to flow possibly without ever blowing. This will overload the conductor and will likely cause damage to the conductor or worse. The oversized fuse will still provide short circuit or ground fault protection since either of those conditions will cause a very large fault current.
This should get into the Topic of Type-S (rejection base) fuses, which may be present.
And Mini-breakers. A key challenge for the inspector is the incoming wires may not be color coded or labeled: a feeler gauge or really good eye is required to determine what wire size each circuit is.
My local AHJ has for certain panels a simple rule: fuse them at 15 amp or get an electrician to certify that can be higher than 15. I’ve grown to appreciate the wisdom here. You don’t want space heaters on such circuits anyway, and 15 does really well given all our LED lights and iPad power bricks.