Why aren't layouts customarily drawn from left to right like schematics (input and preamp on the left, progressing to the PI, then the power section, for example)? ...
My guess is that Leo Fender did it that way because that's how he had his employees orient things when they built the amps. ...
It's much simpler than that: the layout is arranged exactly like the object in physical space.
- When you stand in front of the tweed Deluxe and look at the panel, it is laid out left-to-right the way you wanted.
- To get at the electronics, you have to remove the panel off the back of the amp.

- Now that you're looking at the chassis from the opposite side (back, not front), the circuit runs right-to-left.
- The layout is oriented exactly like the item you will work with (inputs to the right, power transformer to the left):

Now we flash-forward a few years, and Fender has altered their cabinets & chassis, and began making the control-panel front-facing.
- Looking from the front, we still have our expected left-to-right control layout:

- However, we don't disassemble this model solely by removing a back panel. We remove an upper back panel, then undo the chassis straps. The chassis can only come out by sliding out the back of the amp:

- When we look down at the object in our hands at the moment we slide the chassis out the back, the back-apron is closest to us, and the front-panel is furthest away. The input jacks are over to our right, and the whole circuit runs right-to-left. And look at that, Fender drew the layout in the exact orientation we see the electronics when pulling the chassis from the amp. Inputs to the right, and power transformer to the left:
