We just bought a portable dishwasher, and the sink has a single handle faucet with a sprayer (side spray.) (This video https://www.youtube.com/watch?v=yTlmbpje7Js shows what the connection looks like. The dishwasher connects to the end of the faucet much like this https://www.youtube.com/watch?v=fszaXdH5K64)
The instructions for the dishwasher (and other brands) say to remove the side spray because the hose isn't designed for the constant pressure like when used with the dishwasher and is likely to leak. That sounds plausible, but isn't the diverter the thing taking the pressure? And if that's the case, how does removing the side spray prevent problems?
EDIT: Added details of the hose connection.