It's about over time as oppose to one off situations. In general, it is best to pull from the breech to the muzzle end than it is to push either way. That way you never damage anything no matter what you use.
I recall a long time ago someone with a mosin nagant did a experiment where they were acting like they were cleaning pipes throwing it down the barrel and just going crazy. They did it for hours across multiple days and it still did not damage the crown.
The reason old Garands and old milsurp rifles have damaged crown is because the soldiers simply did not care about cleaning. Most of the issued cleaning kits were from the muzzle to the breech and doing this out in the field day after day is going to damage it and not only that they constantly dropped it on the muzzle, which wasn't protected with a device on it. In one off situations or using a muzzle guide, you will not damage the crown and I wouldn't really worry about it. Unless you are using some strange metal rod, the standard cleaning rod will be long shredded to pieces before you damage anything. I know this because once I got a patch stuck down the barrel and after hours and going through three rods, I finally got it nearly out and had to use a pliar to grab on one of the ends barely sticking out the barrel. No damage, no scratch, nothing.