the bots would pick after the initial list(which is different to yours), and personally those list is pretty inaccurate so that it is just sligthly better then total random.
So the chanche to get your number one pick is around 66%, even the chanches to pick something solid in round 2 are there.
PS: hree scouting points isn't a low investment in my eyes, but in a bot league i think it is ok.