Best to enable DAHDI fax detection, or not?

Most of my extensions are configured to detect faxes and route them to email. In each extension, they are set to detect faxes via DAHDI, but I have Fax Detection set to “No” in DAHDI Config Global Settings (I have a TE134 PRI Card). This configuration seems to work for the most part, but I occasionally get faxes that ring through to the extension undetected.

Would it be more reliable to turn on Fax Detection in DAHD Config? Or to do something completely different?