Based on the manufacturer's instructions, I use the supplied barrel wrench (plastic one included with gun... Nothing as fancy as in video, above). It is tight enough that the tool is very helpful. But, not so tight that I feel that I'm forcing anything. I've tried the other method of field stripping - remove slide stop first then remove slide then remove bushing with the barrel out of battery - similar to the way all of my other semi auto handguns strip. It is doable and will eliminate wear on the bushing IF IT IS ASYMMETRICAL. Personally, I'm going to do it the way the manufacturer recommended because for me:
The risk of dinging up the gun field stripping under spring tension is a concern.
I don't think my bushing/barrel fit is being compromised.
I think the barrel locking lug fit is more critical than bushing/barrel fit. Not that bushing is unimportant...
I do apply a drop of fresh oil to the barrel and push the slide back enough to get the barrel out of battery before using the wrench. That would greatly reduce the effort required. And if your recoil spring can be removed from the front you can reposition the bushing before returning the barrel into battery... My recoil spring is a good buddy with my guide rod and does not like to let go...
There are many options... My advice would be to follow the manufacturers recommendation if available first.
I hope this helps.
Edited to add: I have a short guide rod (in my 1911 that is...)