I don't disagree but you might find the link to the SC cases I provided interesting. (Wouldn't the SC be an expert?)
Apparently, reasonable doubt has evolved to mean a lower standard since the 1800's and the SC has given some instructions on how to clarify.
One of the above posts is an example given to jury in CA that was constitutional. It may or may not agree with your interpretation.
Read 'em side by side; they're exactly the same!
Thanks for posting those; it was interesting.