Sweet, thanks for the confirmation.
In case anyone is interested, I did find somewhat of a clue in the official regulations. AMC1 MED.A.030 states that a Class 1 medical certificate "includes the privileges and validities of class 2 and LAPL medical certificates." That, along with the statement "(OML — Class 1 only)" under MED.B.001 would probably qualify as legal justification for flying solo privately with an OML, should it ever be challenged.