In my case, yes they will as my computer will just download them when I am ready.
Obviously I don't know as I don't have your super mobile internet connection that works miles away from transmitters and underground.
Podcasts are made by hundreds of different people on hundreds of different subjects. Some have indexes on the page you get them for, some have audio indexes, some just say what is coming up.
It is about choice. Just because you don't want that choice, doesn't mean that it isn't valid and will die out.