Albini has no idea what he's talking about.
Considering that he's an engineer with decades of experience, that seems unlikely. You remind me of a 19 year old classmate in college who questioned the professor's knowledge of the subject, who told the kid "Son, I've forgotten more than you ever learned."
He's obviously done the math. Can you tell a 15kHz sine wave from a 15kHz sawtooth wave? A CD can't, because there are only three samples per crest and almost every teenager can easily hear 15kHz.
I do fault more modern engineers, though. Why does the Led Zeppelin "Presence" LP have more dynamics than the CD does? CDs have a greater dynamic range so someone must have screwed up the remix. Yes, I was disappointed when my brand new CD didn't sound as good as the old LP of the same album. Boston's was so bad the musicians complained. Zappa refused to release a digital version of their Fillmore East album until his deathbed because the quality wasn't good enough for him.