I think Lutris can install its own versions of wine which is probably why it’s not included (also you don’t need to use wine at all with Lutris). I guess I’m not surprised you ran into these issues on Arch. I wouldn’t expect this on the more mainstream distros a new Linux user would be likely to use, since these distros are more likely to take a batteries included approach to packaging. I’d hope running into missing dependencies when launching a program is a fairly uncommon experience, at least for anything installed with a package manager on most systems.