Since you can stay the right way up with just an AI and the AI and static systems are unlikely to fail together, partial panel (in UK-speak, with failed pressure instruments) is not as immediately serious a situation as limited panel (failed gyros).
That said, it's interesting to think through how you'd get down from fairly low IMC after a static failure. My favourite would be an ILS approach with a very long final to find the glideslope.
It's not something I've practised, and I think you've persuaded me that I should.