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In case you have used only a resource assignment, prior to changing a name of associated team, there will be no issues, as the team with updated name will be picked up based on assigned resource.
Additional notes:
The team capacity is defined by a number of hours that is configured for the team on Manage teams dialog no matter how many team members are added to the team. The resource capacity does not affect the team capacity.
The Gantt Suite teams are not connected to the Jira teams or Advanced Roadmap teams. Currently, Atlassian is working on merging their teams together. We may use Jira teams in the future, once they finalize their vision and provide API to manage Jira teams.