I was always taught that if you start with incorrect assumptions, you will probably wind up with incorrect conclusions.
Nowhere have I ever read that the throat angle is based on anything other than the shank parallel to the seabed and the throat angle then based on penetration and holding.
A naval architect/marine engineer told me that the whole purpose of catenary/ increased scope is to create a near horizontal pull on the anchor, which tends to make the flukes bury deeper. The more vertical the pull, the greater tendency to pull the anchor back up to the boat.
I’m sure there is some ridiculous maximum of scope but there is a reason why you let out more scope in a storm to assure better holding
Jack Hulse
Endeavour 44 catamaran trawler “Two’s Company “
New Orleans