Depends on what you mean by weekly scoring.
1. Weekly scoring 1: means that all your players are locked for the week in the starting lineup you choose by the beginning of the 1st game of the week. In this case, if you drop a player, his drop won't occur until he is unlocked, at the end of the week, so if he was in your starting lineup, his points will count until the drop occurs.
2. Weekly scoring 2: means a h2h matchup with another team where you can do daily adds and drops and the score at the end of Sunday determines the winner. In this case, if you drop a player on Wednesday, you lost him and whatever he scores for the remainder of the week.
Hope this helps.