I don't see why that would matter. Sure, it was noticed on a browser but ultimately this article is about overlap between x86 assembly and a subset of the unicode standard. The browser isn't really involved.
It's less to do with browser versions and more to do with websites. Mastodon and unfortunately blogspot seem to mess up the emoji. Fortunately you can click on the disassembly links that go to my disassembler and copy them from there.
Probably wouldn't hurt to specify the text editor too and settings needed to match the intended file size as well.
With the exception of (sigh) newlines, I surely hope your text editor accurately records the characters you paste into it. This job isn't different just because the characters are strange, multi colored ligatures.
Edit: As long as you work in UTF-8 that is, but you have to go out of your way to use any other encoding as an interchange format these days, even if alternative internal encodings aren't uncommon-
Missing emoji should still be copyable though, it just won't look as funny.
Every single one works. Apple keeps their emoji list pretty up to date.
In the EU one could theoretically deploy an alternative browser engine, but that relies on the version of iOS being recent enough to get the changes that Apple had to make to permit that, and in practice there are no alternative browser engines yet.