It seems to me that the comment about Wiggins being an elite athlete and most of us not being in that kind of physical condition could have been made by the greater part of the TdeF field in a post-stage interview; IMO it's inappropriate in this context.
Beyond that, it seems to me that a good opportunity to plug cycling has been lost, although I've no idea of the full text of what the CTC spokesperson said.
It's possible to make good use of the press without being some sort of slimy party political spin doctor. I'd suggest the first rule is to be prepared for the inevitable increase in queries from the general (ie non-sports, non-cycling) media looking for a different angle. Then have some good stuff ready: they have pages to fill with short deadlines so there's a mutual advantage here. There's no obligation on anybody to publish what you give them, of course, but telling them is the only way to have a chance. A grumpy old git, AKA your obedient servant would have been looking at something like this as an answer to a media query like the one behind that article:-
We're really pleased to see the the success of our riders in the Tour de France. (Perhaps insert: the well-known commentator Phil Liggett was a popular CTC President.) This great riding is just one of the many things which has contributed to the growing popularity of cycling. Racing bikes are now designed purely with racing in mind, in much the same way as F1 racing cars, but without any of the emissions. This means they may not be the best choice for other forms of cycling. We'd recommend that anybody buying a bike should think about the type of cycling they want it for and then tell the people in the shop. By becoming members of the CTC, cyclists ... (get a brazen plug in here for technical advice, rides, whatever you like, with loads of detail included in "Notes to editors." )
And on the health issue:
Cycling is an excellent form of exercise (include any amount of data you like in "Notes to Editors" added as footnotes.) As with all exercise, we'd advise people to take it steady at first. Anybody with health concerns should consult their doctor.
Emphasise the positives: cycling has plenty going for it.