"Unfortunately, the Federal Circuit has ruled that merely loading an algorithm onto a general-purpose computer and executing it transforms it into a patentable invention."
That is also true, and furthermore, which Lee doesn't point out, is that the Supreme Court has affirmed this. See Diamond v. Diehr, 450 U.S. 175 (1981).
The often cited landmark case that affirmed this is State Street Bank. See State Street Bank & Trust Co. v. Signature Financial Group, 149 F.3d 1368 (Mass. 1998).
That decision ruled that an algorithm that is calculated by a computer meets the statutory subject matter of patentable inventions. The Federal Circuit in Massachusetts decided that case. The Supreme Court declined to review the decision because at that time the SCOTUS thought the Federal Court got it right.
I am still reviewing Lee's other analysis. There is lots of stuff there. It will take some more time.