IMO The only thing I think the PhD in engineering will get you is maybe you would get to work for SkunkWorks on the cool fusion project or maybe Boeing on the Laser ray gun LOL.
Or maybe even something cooler that we don’t know about yet.
But yea I don’t think the money will be more than a 4 year CS degree.
I don’t think Einstein gave a Sh#! about prestige after reading about him. anyway just my two cents.