"Is infinity unreal?"
"Infinite" seems to depend on definition. As you note, math is something which can have infinite aspects, which includes the line in a circle. But these are abstractions. What about "real" things, like what humans see or imagine to be real?
Like cosmology.
Most "experts" in cosmology suggest that the Universe is on an endless expansion from the BB. and will continue to expand as it approaches heat death. This might expand space infinitely since some of those same cosmologists tell us that heat death is never totally reached, so that might offer a case for an infinite, theoretically of course.
And there is the rub...........How will we ever know if we have all the details to draw any such conclusion?