Not sure what you mean by your 'position'..?
I mean my stance in the argument.
You will not become physically stronger through cycling though - I'm not sure why you are persisting with this. In some cases, pro cyclists have actually ended up physically weaker than before they extended/increased their training. That won't stop them increasing their aerobic power, threshold, VO2 max and muscular endurance though. Google some pics of Michael Rasmussen and tell me he looks 'strong'.
Again you demonstrate a lack of understanding (or just not reading) what I have said. I have never suggested that cycling will give you massive legs or that you will be able to leg press or squat more weight as a result of cycling. Cycling is an almost entirely aerobic exercise the conditioning and strengthening you get are to make your cycling more efficient. This would not translate to your legs being able to lift heavier weights as the muscles stimulated are those you use to turn the cranks which is a fairly unique movement for the body to make. For the same reason if a body builder thought that as he had really muscle bound powerful legs that he would be great at cycling or running he would be sorely disappointed.
I do understand a bit about how bigger muscle is built and the ultra-high repetitive endurance nature of cycling is never ever going to build big muscles. You need heavy weights with a reg range of 6-12 to build big muscles and only then if you have the right body type to build such muscles. I have a slim frame so even when I worked hard my muscles were always fairly compact. The physical improvement and conditioning I have seen in my own legs will certainly be limited and whilst I expect them to be better suited to the task of cycling as I progress they will never be muscular looking in the terms that most think of when it comes to being muscular.
OK the technical bit
There are two basic muscle fiber types, type 1 - slow twitch, type 2 - fast twitch. Type 1 the slow twitch ones are what us cyclist use and "train". These are not mass building but after stimulus the muscle responds by increasing its ability to resist fatigue. This is where the strengthening in the muscle is felt, not by being bulky but by becoming more able to cope with the demands we place on them. These slow twitch muscles will then expand whilst the type 1 muscles due to not being used will atrophy, meaning that more of the muscular whole is be taken up by the slow twitch fibers that we use than the fast twitch that we don't. In a non cyclist the balance my be 50/50 between the two fiber types but in a cyclist it may be 65/35 in favour of the type 1 fibers.
Think about it - muscles are normally strengthened through consistent overload, such as pushing or lifting very heavy weights with near or maximal efforts. As already pointed out earlier in the thread, cycling is a 'low strength' activity where you are never likely to overload your leg muscles to anything like the point where strength adaptions begin to take place.
You may certainly feel 'stronger' in a more general sense of the word (ie not the OED definition), but in effect that is another way of saying that you have 'increased aerobic fitness', or a 'better power/weight ratio', or both - but not actual, physical strength.
When you write like this it really appears that we are splitting hairs and arguing over so little. The only part in all of this you will not accept is that your legs do get conditioned through cycling despite the fact that I could provide you with 100 links (if I had the time which I don't) saying that they do, many from experts in the field of cycling fitness. That you accept that your heart and lungs get fitter as a result of cycling but not the legs just flies in the face of common sense.
Anyway we have gone round in circles for too long on this so I am jumping off here. You know that you are right 100% and I know I am right 100%. We will agree to differ and kiss and make up! Read up on slow twitch muscles though, I doubt it will change you mind as that seems set, but at least it might get you thinking about other possibilities.