Difference between this and serving Codex as an MCP server through `codex mcp`

What is the difference between this and something like:
```
claude mcp add codex -s user -- codex -m gpt-5.3-codex -c model_reasoning_effort="high" mcp-server
```
for claude code for example?

Seems like codex already supports this natively. I was wondering if there's any reason to use this over just plain codex.