[RJT]

To answer you question (especially as there is a good chance you got this idea from me) when we use the synonym Infinite for God it really isn’t meant “literally” as scientist (or others) use the word.

I think I am correct when I say that we mean it as a summary of the words omniscient, omnipotent and eternal. I think really using it as the word eternal is most often the case.

I think, you are correct that using it as a synonym is not an accurate use of the word.