I’ve actually played around with both of those concepts together and separately, but couldn’t find any consistency. The claw just felt way too weak and inconsistent and index finger down was too strong.
I feel like I do my own modified version of the claw where it’s just a baseball grip with my hands slightly apart. Gives me the benefit I wanted from the claw grip without losing control.
If the claw is too weak I would argue you are using too much right hand. Another thing to think about is to raise your hands some so that the heal of your putter is raised. Look at Steve Stricker's. This video starting at the 7 minute mark talks about that: