Why iOS upgrade fails after installing new (non-Apple) battery?

Hi. I have an iPhone 11 in perfect condition. Not a scratch. It has iOS 14.8.1 installed on it.

My daughter wants it as replacement for her broken iPhone SE running iOS 17.

As iPhone 11's battery got old and its "health" deteriorated, I took it to a technician who installed a new battery - that was NOT genuine Apple.

Since then I got all kinds of warnings from iOS - but my iPhone 11 works perfect, I can do everything, upgrade applications, etc. All is well - Except I cannot upgrade the iOS any more.

I erased it, and tried to move my daughter's iPhone's data to the iPhone-11 directly. It failed because OS was "too old". Same when I tried to restore the iPhone 11 from my daughter's iPhone backup on my iMac.

It REQUIRES that the iPhone be upgraded to latest iOS for some reason. I agreed - but every time it tries to upgrade the iOS - it failed.

It manages to bring the update to the iPhone, then, when it "verifies" the update - it either hangs forever, to breaks - claiming "the internet connection was no longer there".

Internet is perfect, both for this iPhone and for every other device, and I can see a new "warning" notification about the battery not being Apple's from about the time the update failed.

I tried all possible ways to upgrade the iPhone OS (on air, via iTunes + USB connection) I tried several iOS versions, I tried to do it on different MacOS version (from 10.14 to 13.6.7)

-- To no avail. It sure looks like Apple tries to punish me for not installing a genuine battery.

However - can anyone suggest a cure other than replacing the battery with a genuine Apple one?