Here's a prior thread discussing just that question. See my posts in it where I reference a previous thread where I asked that, then went and bought a 3-point hoe instead. Now after a decade using the 3-point backhoe I think it was the right choice for my applications - mostly taking out stumps in my orchard for re-planting, and I've done a few ditches with it. Also used it to rip out blackberry jungle on steep slopes between the orchard terraces.
Moving a tractor-mounted hoe then setting up to work in various places around the property is a nuisance, seems to me moving that around would be 3x the nuisance. Especially backing into position on uneven ground. But owners like them.
You mentioned health. The HF backhoe would be easier to get on, compared to climbing up on a tractor-mounted hoe every time it is moved.
Some ROPS configurations make it impossible to safely add a backhoe, there is risk of a crushed spine if something breaks and you lurch upward. And 3-point hoes are known to break transmission housings - not all tractors are suitable.
https://www.tractorbynet.com/forums/attachments/113502-harbor-freight-back-hoe-trencher.html