I might be thinking of a different scenario (and I'm generally using Singularity rather than Docker). I want to start my container under 'strace' and see every

I might be thinking of a different scenario (and I'm generally using Singularity rather than Docker). I want to start my container under 'strace' and see everything. This is not generally possible in the obvious way, as there's a setuid-root binary in the process tree that blocks further strace'ing. (One can still attach after everything's running, but that's not always good enough.)