Hi,
It depends on what the condition of those alerts are. For example, if the alert is an activity log alert that has condition to fire when delete protection operation is performed you will still get alert even when the Vault was protected with Resource Guard and operation was performed after approval. The Azure activity logs log any record about create, update, action and delete operations on resources. So whatever operation you perform on the vault and you have alert for it it will fire no matter that it is protected by resource guard or not.
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