I think the engineering/customer friendly response would be, "OK, so we'll put a big, flashing red light on the thing that says "Consumables past expected life -- Print quality may suffer!" Unless it's a question of safety, a well-designed device should always make a best effort to keep on functioning, even if it knows the results won't be within the usual specs.
The 'scope manufacturers have started talking about doing things like having an "enhanced accuracy" light or display that appears when all self-tests have passed, "certified" accessories are used (i.e., those made by the scope manufacturer, so they really do know their characteristics), etc. If everything isn't just right, the idea is that, while the 'scope still works, you can't complain back to the manufacturer that you used some no-name 1GHz probe and the fact that you're seeing, say, 1ns rise times must imply that the 'scope is broken.
---Joel