Sure, they watch. Especially this time of year, when the aches and pains increase exponentially and the end of the line is right there. When the final game on the schedule is the definitive conclusion, when travel plans are made well in advance with no fear of losing out on any early-purchase deposit.
The players watch to see who has checked out. The injury list grows, and often the return to the field slows. The Giants are in the home stretch here, only four games remaining, and at 4-8, finishing 8-8 requires a closing run of 7-1, which would flip the 1-7 eyesore of the first half of the season.