I've dry fired plenty of guns (antiques included) and never had a single issue. Personally, I think there's a lot of paranoia going around with these things, but that's just me. Maybe I'm wrong and the few hundred guns I've dry fired multiple times in my lifetime were just in such a great shape that nothing broke...?
Anyway, to each their own... I don't dry fire on purpose all the time like a fool and try to limit that practice, but sometimes I do when I want to check a gun for proper operation or to get a feel of a collectible gun that I haven't handled in a long time (trigger pull, etc) - in other words, I am not overly concerned about it, as some collectors seem to be. So far, 0 incidents... and yes, I also own a Webley MkI and think that it would take a lot more than dry fire to damage that big & thick firing pin on its' huge hammer, lol!
As for the springs, I really don't know the possible negative impacts of working the mechanism and/or dry fireing, as they were made for that. If the spring has good elasticity and isn't corroded, then it should be just fine. If it snaps, that's because it was due and was going to snap anyway in a not so distant future under normal operation.
My 2 cents... and I'm only talking from my own personal experience, so opinions (based on other experiences) may vary.