I always carry (1) jack stand with me no matter what. My mobility and life are too important. Yes. I've ratchet strapped the axle too. However, that activity itself has it's own issues, depending on the model vehicle. On my Tacoma, great care has to be taken not to interfere ( or damage) the brake line & wheel speed sensor. It does work though!
The lift-mate as it's designed from Hi-Lift has some shortcomings as mentioned in this thread, however the concept has a lot of value as it allows the hi-lift to work on a variety of vehicles that do not have suitable lifting points. I haven't bought the lift-mate yet, and if I did, I'd consider almost immediately modifying it. I'm thinking of ditching the factory yellow poly/nylon webbing and instead use an endless 3' polyester sling in a basket hitch around the wheel spokes and finally connected to the lift-mate bolt with some quick links. Weaving the polyester sling through the wheel spokes will make it super secure and should work on a variety of wheels.
Sort of Off-topic but really great, was this Land Rover owners custom modifications to the lift-mate: