I work with high vacuum systems of all types, and really doubt you could collapse a corny without trying pretty hard.
Vacuum systems work by pumping faster than the system leaks. The fewer leaks you have, and the higher pressure differential rating pump you have makes a greater vacuum. Because on a corny you're probably going to be pulling vacuum through the gas in post, the orifice is very small (and you'd have to have the poppet removed). Your pumping speed will be slowed by this. Even ignoring the lid, the other poppet (liquid out) is going to open with a vacuum in the keg (it is meant to seal the other way) and leak air back in at a rate that you're unlikely to outpace with vacuum on the other side without having something more industrial that what someone doing this is likely to use.
This thread was started in 2013, and much of the information given then clearly wasn't based on experience with vacuum. A vacuum pump doesn't pull all gases out at the same rate. Molecule size matters. Nitrogen pumps out easier (we often pump, purge with N2, then re-pump to have the N2 molecules 'bump' into the other gasses to help get a greater vacuum more quickly) and helium is more difficult to pump out. If you pull a vacuum, oxygen in the vessel will be lowered- but the percentage of oxygen as part of the gas in the container will not still be the same as it was at atmosphere since other gases may pump out more quickly. Then you get into temperature, mean free path, etc. If you really want to purge/pump....Nitrogen is a much better gas to use than CO2.
Long and short...unless you buy a larger lab or industrial grade vacuum pump with a displacement rating much higher than what the other seals will leak (especially considering the small orifice you're evacuating through)....collapse is unlikely.
I kind of agree with
@Hermit here. I love this site for debating and discussing science topics and taking some things to the extreme.....but it isn't necessary to worry about oxygen to this level. Some of the posts are so over the top about different impacts to brewing that you'd wonder how anybody makes good beer...including commercial breweries.... if they're all true.
To me, the benefit of using low grade vacuum for transfer is that it doesn't require CO2 .....which for some is expensive, or difficult to get (fill/swaps are far away), and some people may brew in a different area than where their kegs are, so having CO2 in the brewery is going to require a second setup or require taking their CO2 and regulator off of their kegs and into the brewery.