What's strange is that many people who believe in a Mature Creation (as I've heard it; "Last Thursdayism" is new to me) will readily accept it as the explanation for ancient starlight but then deny evolution and claim that the fossil record is actually evidence of the biblical flood. Which is an unnecessarily weak position to take when you have already accepted a perfectly unfalsifiable cop-out! The truth is that most of them don't want to think too hard about it.

There's nothing wrong with Last Thursdayism. It's unfalsifiable. You're welcome to hold it.

Most people find that it's more complicated to work with, since it requires a vastly more complicated set of initial conditions. But if you find that it works for you it isn't actually wrong.