Right before Palmer his 62nd home run, the announcer says "Everyone is standing here in Atlanta Fulton County Stadium." The next shot shows a full stadium with a bored, seated crowd. The statement could be hyperbole.
In the last game of the season, Palmer makes a catch in right field to end the top of the 9th Inning. The score at that point of the game was Houston 2 - Atlanta 1. The scoreboard in the background shows Atlanta leading 1 - 0.