The correct permisions required to access the SQL Replication Shared folder are as follows.
Sharing for the folder must be enabled.
Security as follows:-
The account running SQL Server Agent (AUTODESKVAULT).
By default this service uses the "Network Service" windows account. If configured differently or a mix of Domain\workgroup environments are being used, the SQL Server Agent account must have (read for Subscribers and read-write for publisher)
The Account running SQL Server (AUTODESKVAULT)
By Default this is the "Network Service" account. If different than the default, it needs read-write permsissions.
The account used for Replication (this is the Replication Credentials used when enabling Workgroup Replication). (Full Control)