What are the benefits of a bottle jack vs a hi-lift jack?
This is like asking “what is the best tire?” Both questions depend on vehicle type, terrain and intended uses, among other variables.
I personally carry both in both of my 4x4 vehicles and would not consider leaving home without either (and both have contributed to my getting home at all multiple times). BUT, neither one does a bit of good without proper accessories.
For the bottle jack, adaptors like Glenn has made for his truck are essential. A typical bottle jack just shoved under the axle is as tippy and deadly as any HiLift jack. And, you have to get under the truck to use it.
As far as the HiLift, it is useless without a solid mounting surface, which unfortunately very few trucks made in the last 50 years have. That said, if the proper mounting points are installed, that jack can get you out of situations that nothing else can. An essential accessory is the Jack Mate. While no good for changing a tire, it is the best way I have ever found to lift a wheel so you can stuff rocks or logs under it to get you out of trouble. Just be sure it’s compatible with your particular style of rims. As for storage, the jack can be broken down into its component parts, making stowage much easier.
Both types of jacks benefit greatly from a solid board to mount them on, as stated above by Casa.
Hope this helps,
Tom