My theory is that the Engel Gabriel (28 guns) is the same as the Engel

It might not be true, but it would explain why we have not seen the Engel Gabriel (28 guns) mentioned. Ron van Maanen says that the Engel (28 guns) was in service from 1652 until 1653. He gives the armament as 4-12pdr, 12-8pdr, 10-4pdr, and 2-3pdr. The captain was Maarten Schaeff. The details for the 28-gun Engel Gabriel are somewhat different, but not too different: 6-12pdr, 12-6pdr, 8-4pdr, and 2-3pdr. So far, this is just a theory, but it would explain a lot.