haha i think you misunderstood what I said.
what you showed is an explanation on the mechanics of gravitation, but not explanation of why it exist.
of course that's a very nice and popular explanation by einstein in his General Relativity.
to show it clearly,
there's 4 fundamental forces in today's universe: Gravitational, electromagnetic, strong nuclear, weak nuclear forces.
the mechanics of all 4 forces are almost the same,
the only difference is in their strength, and thus the range.
yes we can explain the mechanics of the forces with mathematical model (in fact every picture/explanation is what we derived from math, including your classical example of gravity's mechanics)
but why do they exist?
no explanation, at least so far.
let's look at electromagnetic force.
charged object possess this force,
the same signs repel and the opposite signs attracts.
but why is this so?
and why is there electrical field in around charged objects?
so far we can only say it's there because it's there,
this is the way it is, what we observed.
I get your point.
However, if we look at it that way, then everything has no direct explanation. It is like asking why 1 + 1 = 2. Experimental observation and mathematical modeling together, for me, is adequate.