It's interesting that this post (or rather, the later post that discusses this) talks about the advantages of UltiSnips. The well-known vim-LaTeX posts written by Gilles Castel (RIP) relied pivotally on UltiSnips.
It's not just that UltiSnips is a snippet engine. There are many of those (including LuaSnip, the other snippet engine mentioned in the OP series of articles). It's that UltiSnips can dispatch arbitrary expressions to short python code sections, and python has a great scientific library. For example, it's trivial to write a `sympy` snippet that will simplify or compute a given expression and write the output in latex for you.
But UltiSnips works *terribly* with neovim [1] [2]. Why? Because UltiSnips uses python, and neovim's python interface is 100x slower than vim's python interface. There are design decisions for this and I'm not trying to say that neovim is bad. I use both vim and neovim. But I use vim+UltiSnips+vimtex for writing LaTeX.
LuaSnip has interpolation too. I suppose it would be possible to write more code that calls from LuaSnip to a system like sympy (or other). But that's work. On the other hand, I think it takes a true power user to actually want or use the fancy interpolation functions.
[1]: https://github.com/SirVer/ultisnips/issues/974 [2]: https://github.com/SirVer/ultisnips/issues/1533