Hello and welcome to the forum.
What do you think bush crafting is? Put that way it sounds like topiary…definitely not axe work

All joking aside about the problems involved in defining “bushcraft”, and the legal aspects of walking around with an axe….
I have three Gransfors Mini, Wildlife hatchet and Small Forest Axe. I also have a larger camp axe with an old head that I hafted myself.
The Wildlife and the SFA will both work for many things that people do in “bushcraft”. I had the SFA first and it was my only axe for nearly a decade. It felled, snedded, split, and hewed. I used it for bow making, spoon carving, making pot hangers and shelter sticks…and processing firewood.
The Wildlife is lighter, easier to use for fine work and crafting but less good and less safe for splitting, shedding and felling related work.
The Mini is cute, but I don’t find it practical for more than feeding a hobo stove and light spoon carving.
Look up those descriptions and you will get sizes and weights.
On the subject of need. I used the SFA on trips to Sweden and Canada, for tree work in an arboretum as a volunteer, and at Moots and meet-ups. I have never found a time or reason to carry it in a pack while out for a walk just because I might want to cut something. Legality aside, it is too big and heavy to haul around just in case in most of the UK.