Ok, I will also try again: If _I_ say weight is determined by a spring
scale, then that is what _I_ mean by "weight". The fact that other
measurements give differing answers is irrelevant.
Again, I say: "weight" is not a discovery. it is an invention -- and we can
invent any definition that is useful to us. For me it is a bathroom scale
We would also have the same situation with "mass" except that we have
fundamental equations which must be left making sense.
My point is that there is no fundamental physics which gives much of a damn
about "weight" per se so there is not much value in arguing over its
definition -- certainly not in an intro class.