I don't know about that, I didn't see any recommendations for weight lifting from Dr Coggan, but the research is equivocal at best. For example:

High resistance/low repetition vs. low resistance/high repetition training: Effects on performance of trained cyclists. - " It appears that for this population of cyclists, neither H-Res nor H-Rep resistance training provided any additional performance benefit in a graded incremental cycling test when compared with cycling alone over a training time of this length."

There is some evidence that strength training can be useful for older, 50+, cyclists but I think the OP is young.