Let's take a look at both the flat and accordian loads I'm not a fan of the accordian load and will explain why...
Update: Thanks to Eng Co 4, this photo shows the accordion fold. Scroll down this post to see more specific information regarding this apparatus and the hose inventory.
Addtionally, I should mention that we have used both the triple fold and flat load for our crosslays. Years ago, we switched over from using the triple fold to the flat load for the crosslays. LA County would be another example of a large working department that adopted the flat load to facilitate getting engines in back in service asap to respond to additional alarms.
For the author who can't seem to find a picture of an accordian load (his picture of the model is not technically correct, but close) here