I would imagine far less. The LHC captures many channels of sensors (for spatial resolution) and captures at very high frequency (because the time scales involved are fast and also because LHC is doing time-of-flight measurements).

I doubt that a rocket has anywhere near as many sensors (have you seen pictures of the LHC’s instruments? They’re basically all sensor), and I also expect that the timescales involved in rocketry are rather longer than in high energy physics.

Here’s a slide deck about ATLAS building an ASIC that reads something at 25 picosecond precision:

https://indico.cern.ch/event/799025/contributions/3486157/at...

Unless someone at Blue Origin is trying to localize a specific part of their flame by time of flight of light, I don’t see why time resolution even close to that would be at all useful. Perhaps they’re very fancy and want to tell which part of their rocket initiated an explosion by time of flight of sound, but that’s rather less demanding.

With the caveat, of course, that LHC events don’t explosively destroy the instrumentation. If you want useful telemetry in the last milliseconds before a rocket failure, you had better seriously harden your data logger or have very low latency transmission to a remote receiver :)