No. It's free for a reason. I set a $0 recommended price as well. If it's not showing up as free please let me know and I'll post a different download link so you don't have to pay.
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It...kind of recommends $2.00, which is pretty typical of most name your price games on itch.io. (Although, Nami's "Contract Demon" game- just to give an example- suggests $3.00, so there's SOMETHING you're supposed to do to edit that number.) Still, anyone paying attention will probably hit the button that lets you download for free. And I downloaded for free, so at least that is still working.
But even now, I can click on the download button and see $2.00.
Here's what it shows for me now: https://i.imgur.com/wKoj8Rm.png
Re-saved it to make sure it says $0. Mind checking it again for me to make sure it only requests $0 now? Regardless, nobody ever paid $2 for it (only had one payment for this game ever which was pretty obviously manually entered because it was an uneven amount of dollars and cents).
Sorry about the lateness of my reply, I don't always keep up with various accounts like I should.
I went back, and I'm sorry to say, it still recommends $2.00, and it might be stuck like that. I saved a screenshot, but its been forever since I used a website to share images. Forgot my Imageshack password, and I may have even deleted the account at some point in the past.
Still, if nobody is paying that money, its PROBABLY okay...?