The "ping" they're referring to is the sound wave pulse that the transducer puts out to reflect back the image's distance from the transducer. Fish in really shallow water and/or really spooky fish "can" be turned off from the ping "noise". But, I would think that with the number of boats with "pinging" electronics out there ... the fish would likely become used to it.
If they were fishing in real shallow water ... a 2d broadband sonar or DI unit wouldn't really give them much info, and a SI unit would be severely restricted. So, yeah ... having the units on under those conditions might not be entirely necessary.
TM prop wash & noise, dropping things in the boat, the shadow of the boat (& the boat itself), your shadow & movements in the boat ... in shallow/clear water ... probably rate higher on the fish spooking reasons chart, than the ping of your depthfinder. IMHO
... cp