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How are Views linked to a Saved View type? This is similar to what EVA provides. Two options would be......
1) Adding the Save header to a View automatically creates a new Saved Views Type
2) You can create new Saved Views Types on the Saved Views Types tab. When you are configuring the header you choose which Saved View Type this view will be attached to.
#2 is probably the better option since it allows you to reuse a configuration