That doesn't really help us, as an observation.
"Regularity." You mean, "scientific laws"? That's what Uninformitarians would understand.
But Uniformitarianism has a serious problem. These "regularities" only describe what regularly seems to happen, so long as nothing else intervenes. For example, it is ordinarily or "regularly" the case that objects pushed off a table fall to the ground. Except in space. Or except when a hand reaches out and catches the object. Or when it falls on an elastic surface and rebounds upward. Or when the object is a helium balloon. Or when the object is tied to a string...A host of possible exceptions always exist to every such rule or "regularity."
That's why we can only say that scientific laws only apply all else being equal. But often, all else is not equal.
Nowhere is this more apparent than in something like, say, the Red Sea crossing. The "regularity," the usual scientific principle governing hydrodynamics is that water does not stand up in walls. However, the claim made in Torah is that this happened. And because it happened, it was designated a "miracle."
A "miracle," you see, is only a term that can be used by people who already know and acknowledge the scientific "regularties," as you call them. It is only because Moses knows the basics of hydrodynamics that he is able to recognize that the rescue at the Red Sea is not a mere natural phenomenon, but something quite extraordinary...so extraordinary, in fact, that short of the hand of YHWH, no such thing could ever be possible. So Moses calls it a "miracle," because it is an interruption the the scientific regularities that Moses knows usually obtain to water. Nothing short of an act of God could produce an event so contrary to expected scientific "regularity."
So that gives us a choice: we can either say Moses lied, or that what he told the truth about really qualifies as a genuine miracle. For both we and Moses know that water does not arbitrarily stand up in walls. However, it was never any promise from HaShem that He would never intervene in the scientific "regularities" He Himself had placed into the world.
In other words, we have no justification at all to assume that Uninformitarianism puts and obligation on HaShem never to intervene on behalf of His people. We can't say, based on our belief in Uniformitarianism, that Moses lied. So I guess it puts a burden on us to decide how seriously we are willing to regard the account given in Torah. But Uninformitarianism will not resolve that for us.