You were asking how it is to be interpreted, and it is as I said: a family of 3D functions each characterized by 3 parameters. What you are saying is technically correct, but misses the point of what I was trying to convey.

Edit: also, three of the parameter (x, y, z or r, θ, φ depending on whether you are using a Cartesian or spherical coordinate system) are continuous, real, and unbounded (well, unbounded in a Cartesian sense anyway). In contrast, n, l, and m are discrete integer-valued quantum coefficients that obey the relations n > 0, 0 <= l < n, -l <= m <= l.