No it is quite normal.
The concept of ground switching is foreign to a lot of people
All electrical circuits are a loop
Power source ( battery ) to item & back to battery.
You can put the switch either before the item ( on what we call the power side ) or after the item ( what we call the ground side )
The item does not care where the circuit is switched all it sees is an incomplete circuit .
Most of the switches on mowers are ground switches
So in your case I think , ( because I am too busy right now to check the manual ) the brake switch makes the ground to the solenoid thus you can not crank the engine unless the parking brake is on, standard safety feature.
JD put out an excellent Technical Manual for your mower with very detailed instruction of what to test where to test it & how to test it plus what the test results mean, where all of the parts are hidden and how everything actually works.
It costs about the same as 1 to 2 billed hours for a tech which is what a shop will charge you for diagnosing the problem + the actual repair + pick up & delivery so it is actually very cheap as a digital download from the JD web page .
There is no excuse for any JD owner not having one apart from being too cheap for their own good