Got my first hight lift in 99. A 48". Loved it so much, got a 60" when the yj got a 6" lift on 35 for trail use.
I have never used a bottle jack to change a tire but when it was my only option, or from my small suv DD and even then. Always in 4wd low when lifting or many wheel chuck, witch should also by used for any bottle jack. Will always try to tie up the acle with a 2 in loading strap before lifting, so I only need to lift about an 1" to change a tire. Always place the jack at a small angle toward the direction of the lift, at the most external corner of the vehicule I want to lift, in order to push the cog on the other 3 tires. It as never even tried to move on the jeep.
All my off road body as one, so when we need one, easy to find one. I'm the only one of that group that overland, and you bet I carry mine with me all the time.
Yes, we have to be carefull, but i know where the base of my highlift goes when it sinks in the mud of softer surface of a trail. Hard to know what is happening with a bottle jack when you have to laid under your truck to pump it up from under your axle.
And branch under a tire only work in a desert or a dry environnment. Does nothing good in a mudy wet dirt. Ask me how I know, maybe from before I got all of my recovery equipement line up over the years.
Ah and yep, good idea to keep that handle up. Remind you not to grab it to get back up on your feet, it could be ugly fast.