Another great reproduction product. Sarcasm

[Accelo]

I purchased a replacement lighter as my knob was so degraded. The lighter arrived and I didn't mess with it for a couple months. The knob looks great.
Yesterday, I attempted to install it. The lighter is too large for the hole. The factory one fits just fine. I was unable to unscrew the knob to install it on the original lighter.
Anyone know how the knobs are attached?
Stuff like this drives me nuts. How difficult can it be to get this simple part to fit? I don't even care if it works. More reproduction junk to add to the pile.