Not necessarily. I came to these conclusions when thinking deeply about simulation.
It would require infinite energy to simulate truly analog data with digital computation. So if we can prove something is truly analog, or continuously variable, then we can prove that we do not live in a digitally computed simulation. The issue I found is that science literally cannot prove with 100% certainty that something is continuously variable or infinite in any way. It can only prove something doesn’t end within the bounds of the test. Thus, I remain unsure of whether we live in “base reality” or not.
I agree that it’s useless to live as if infinity doesn’t exist. Whether we have true infinities or illusions of infinities makes little difference in life. I’ll conclude by saying that I have faith that infinity is real. This has greatly strengthened my faith in God.