Well, exactly. The difference between heating the garlic/oil first makes a world of difference.
The questioner deliberately asked "Can I infuse garlic into olive oil without heating it up?" The only appropriate answer there is "No, not safely", not some long, plausible recipe with perhaps a bizarre caveat on the bottom (as some other commenters have reported seeing) along the lines of "However, some say this recipe may kill you, so you'll probably want to refrigerate it."
The questioner deliberately asked "Can I infuse garlic into olive oil without heating it up?" The only appropriate answer there is "No, not safely", not some long, plausible recipe with perhaps a bizarre caveat on the bottom (as some other commenters have reported seeing) along the lines of "However, some say this recipe may kill you, so you'll probably want to refrigerate it."