I have been running Claude Desktop on Linux via the unofficial Debian build for months and it is solid. The unofficial repo at github.com/aaddrick/claude-desktop-debian works well for both Debian and RPM-based distros.
That said, an official build would make a huge difference for enterprise adoption. Many companies have policies against unofficial packages, and the signing + update mechanism is always going to be more trustworthy when it comes from Anthropic directly.
For anyone waiting: the unofficial build is perfectly usable for personal projects. But I would love to see Anthropic prioritize this -- the Linux developer community is exactly the audience that pushes Claude the hardest.