The only meaningful difference is that Linux containers target partitioning Linux kernel services which is a shared-by-default/default-allow environment that was never designed for and has never achieved meaningful security. The number of vulnerabilities resulting from, "whoopsie, we forgot to partition shared service 123" would be hilarious if it were not a complete lapse of security engineering in a product people are convinced is adequate for security-critical applications.
Present a vulnerability assessment demonstrating a team of 10 with 3 years time (~10-30 M$, comparable to many commercially-motivated single-victim attacks these days) can find no vulnerabilities in your deployment or a formal proof of security and correctness otherwise we should stick with the default assumption that software if easily hacked instead of the extraordinary claim that demands extraordinary evidence.