On page 211 of the PDF version, he says, "A little more reflection reveals that if L1 and C2 are at resonance, they will impose a very heavy (very low impedance) load on the AC source, which might not be good either."

But there is no C2 in the diagram. Probably a scrivener's error. Anyway, what was meant?

It looks to me like C1 is in parallel with the series branch of L2 and Rload. And all that is added in series to L1. If I am mistaken, or any insights you can offer, please do. I'm putting the math into a spreadsheet to try to grasp it better.