I have a message about the battery being ‘ unknown part’ because I replaced it. Now new update 16.4 is not updating, are they connected

They are not connected; the “unknown part” message is just informational, and would not prevent an update from installing.

To update over the air from the phone all of these requirements must be met:

• You need at least 10 GB of free storage for iOS 16 or 6 GB for iOS 15 or lower; more is better
• You must be connected to a Wi-Fi network (and not a personal hotspot)
• The phone must be charged to at least 50%, and preferably plugged in so it stays above 50% during the update
• The phone must not be in Low Power Mode
• The phone must not be connected through VPN, and it may be necessary to delete any VPN apps and VPN profiles
• The phone cannot be in Airplane mode and must have a cellular data connection
• You cannot still have a beta version installed on the phone
• You cannot have a previous version that was downloaded, but not installed - go to Settings/General/iPhone Storage to look; if you find an iOS installer, delete it

If you can't meet all of them you can still update using your computer.

Kkbali21 wrote: "Now update 16.4 is not installing , are they related..."

Yes – as Apple states:

"Using nongenuine batteries might also result in unexpected behavior after installation, device software updates..." Source:

About genuine iPhone batteries

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Did Apple replace the battery?

Probably not, but you’ve rendered your phone unsupportable by tampering with it.