sure, but maybe the terms intelligence and reasoning aren't that bad when describing what human behavior we want these systems to replace or simulate. I'd also argue that while we struggle to define what these terms actually mean, we struggle less about remembering what these terms represent when using them.
I'd even argue that its appropriate to use these terms because machine intelligence kinda sorta looks and acts like human intelligence, and machine reasoning models kinda sorta look like how a human brain reasons about things, or infer consequences of assertions, "it follows that", etc.
Like computer viruses, we call them viruses because they kinda sorta behave like a simplistic idea of how biological viruses work.
> currently-accepted industry-wide definition of "reasoning"
The currently-accepted industry-wide definition of reasoning will probably only apply to whatever industry we're describing, ie., are we talking human built machines, or the biological brain activity we kinda sorta model these machines on?
marketting can do what they want I got no control over either the behavior of marketters or their effect on their human targets.