The person who stacks the chairs after the meeting is running more than you think.

Whoever is still there at the end is treating the place as theirs, and that shows more than anything they said while it was going on. There is a practical return as well, since the conversations that matter tend to happen while people are tidying rather than while the meeting runs. Staying puts you in the room where that happens.

Stay for the chairs at the next thing you attend, even when it is not your job. Talk to whoever is stacking beside you. You will learn more in those ten minutes than in the hour before them.