In cases where you need to have a custom bounce rate metric, it would be nice to hide the out of box metric (bounce rate) from Reports and Analytics and Workspace.
Good news! You can achieve this in Workspace by using a virtual report suite and including only the components (ie, metrics) that you want. You can even rename them. For some built-in metrics, you can hide them in the admin console as well (like cart opens, etc) - but not bounce rate.