Oh my Fergie, my Fergie, you are avoiding answers wich is leading us where?
Hey you may know Amy Mason, she is from same island as you? She wrote some article about strenght, not gym workouts i must admit but strenght.
Some of doctors disagree with her, which is ok, benefits are still......
Here is what she wrote as a response to Ric Stern:
http://autobus.cyclingnews.com/fitness/?id=strengthstern
 Amy Mason's original response to Ric Stern:
I'd just like to had my two cents worth regarding Richard Stern's reply to Dana Matassa's weight training question. Richard commented "strength has little or no bearing on cycling performance". I disagree with his comments. 
Over the last year I've tested 22 well-trained cyclists, were 10 were randomly allocated to a control group and 12 were in a supervised training group. The control group carried on with their normal endurance, speed-type training, and the training group trained with me twice a week on Cateye stationary trainers doing cycling specific strength training on-the-bike, for 8 weeks. 
Before and after the eight week intervention period, the subjects had to do a VO2max test, Biodex isokinetic leg strength test, and 40 kilometre time trial in the lab. After the intervention the control group managed to get 0.5% worse in 40 km time (with training!) and the training group improved on average 2.5% - a 3% difference. The improvements were statistically significant. Some riders improved 3-7%, cutting 3+ minutes off their 40 kilometre times. 
Analysis of their training over a 12 week period, including 4 weeks prior to the intervention, showed the only factor which changed in their training was the strength training. Therefore strength as a lot to do with cycling performance - if you train your strength specifically - unlike Bishop et al. 1999, who used weight training. 
Also mentioned, "most research using trained cyclists or triathletes shows no correlation between muscular strength and cycling performance," however there are numerous studies (ie. Hawley & Noakes 92; Bentley et al 00; Westgarth-Taylor et al 97; Weston et al 97; Stepto et al 99) showing a correlation between peak power output at VO2max and time trial performance. Power is a result of force x velocity. The amount of force you can produce depends on your strength, which affects your power. 
This was demonstrated above where the change in time trial time in the training group was highly correlated (r =0.79) to the change in peak power output at VO2max. Therefore there is a relationship between strength and cycling performance. 
Regards,
Amy Mason 
BSc Sport Science & Physiology
MSc Sport Science Student
Department of Sport & Exercise Science
University of Auckland
New Zealand