that's as may be, still it remains a fact that when looked at objectively, implication physics is not good at dealing with singularities - the suspicion is that they may be a mathematical construct without a physical reality behind it
Yes, math is tricky that way, particularly in this case. I had not considered this before, I suppose my bias prevented it.
and since physics is a science aimed at describing reality, anything suspected of not being real is referred to the purgatory of physics, pending a better understanding of its physical reality
LOL, that's not true. String Theory and Superstring Theory and any multiverse models are all far, far more speculative than singularities. The natural world is full of examples of singularities, though perhaps somewhat different from the mathematical singularities predicted by Special Relativity.
this does not necessarily reflect on the world view of a physicist as a person, but more on the self-imposed restriction of any science, which deals with the observable world
I find it telling though that it seems to apply only in one direction, namely the direction that favors that particular scientists presumptions. The naturalist appeals to infinite time, or multi-verses or string theory or some combination, none of which fit the strict definition of science.