You absolutely could. It'd be cool (not easy from security/compliance perspective) to be able to deeply "scan" your prod-deployed app.
There are a quite a few startups created by connecting relevant eBPF/OTel traces e.g. in response to uncaught exceptions (traditional RAG-based bug-fix generation).
I've built something similar to what you described: https://kopai.app
OTEL is the common denominator for all the observability purposes including the ones that come from eBPF and the application layer.
Same architectural idea as Ingero. We skip the aggregation layer. We also skip the MCP part. The agent uses a CLI instead, which keeps it composable with any coding agent workflow.
You can have your claude poke at the logs/metrics/traces using a dedicated cli tool paired with some agent skills. It is Apache-licensed and you can try it locally.