It looks like subagents will do this with curl requests and stuff whatever identifiers it can into the UA header. For instance some requests I made to our webserver:

company-helm-research/1.0 (Claude Code agent run by <my name>, <company> platform team; docs lookup)

Claude-Code-research-agent/1.0 (<Company> platform team; on behalf of <my name>; +https://github.com/<company org>/<repo of project>)

Not great, it even pulled the repo of the project I was in.