The players are given random identities - so your Player #1 might be another teams Player #36, and another teams Player #17. The intent is preventing teams sharing information.
Each team also scouts at random. So with $10,000/week you should have 28 scouting reports. This could be a single report on 28 players or 2 reports on 14 players, or more likely something in between (for example, 2 reports on 7 players, and 1 report on an additional 14 players, and 27 totally unknown).