Someone on my team can see the team list but cannot change it. Why?

They hold View only on Team & permissions. Only the owner, and anyone given Full access to that area, can change what people are allowed to do.

From the guide Team Permissions.

Who can change permissions

The account owner always can. You can also give a trusted teammate access to Team & permissions, and then they can manage the roster too — but they can never grant access they do not hold themselves. A leasing agent with team access cannot promote anybody, including themselves, to the company bank details. They also cannot change their own access at all; only the owner can.

Read the whole guide: Team Permissions

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