Well, if you put it at 0 nothing will happen, since that is what you have decided you want to happen.
That said, if you know you aren't interested in ever drafting players and/or need the additional cash flow, it's not a bad decision. No reason to spend money on something you don't think you will ever use.
If you do intend to draft at some point, even if that is a few or many seasons down the road, as Perpete said paying $10/wk to get 2 scouting points is a good option. You are still only paying $5k per point, the cheapest amount possible, and you will end up with 28 points at the end of each season. If you then choose to only scouting some seasons and not others, you can end up with enough points those seasons when you do scout to find out quite a bit of information about the draftees. After just two seasons, you'd have 56 points which is enough to find out the skills of all of the draftees, although you won't know their ages, heights, star or grade rating, etc.
It takes 135 scouting points to scout & interview all 48 players, plus another 50 if you also wanted to put them through all five drills. The most scouting points anyone can purchase in a single season is 56, and that requires spending $10k per point rather than $5k. By paying $5k or $10k each week to get 1 or 2 points, you can save them up for a few seasons, perhaps waiting until a season where things didn't go well and you have a top draft pick, and then be able to gather enough information about the draft class to really put together a good draft ranking. For example, if someone decided to only draft every fourth season while spending $10k/wk for points, they'd have 112 points to use each time.