Limit Salesforce fields synced to Marketo

Does applying a permission set to the Marketo Sync User in Salesforce suffice for limiting the number of fields to sync from Salesforce to Marketo? or will the profile need to be updated directly?

In order to limit the visibility of fields for the Marketo Sync User in Salesforce, the profile will need to be directly edited (example: Add an Existing Salesforce Field to the Marketo Sync - Marketo Docs - Product Documentation)

Since the profile has access to a field, the Marketo Sync User will still have access to the field even though a permission set applied to the profile does not have access to the same field.