If the APK fails to log you in, there is one final trick for Android 4.4.4 devices:

Android 4.4.4 (KitKat) was released in mid-2014. It was a landmark update that optimized memory usage for lower-end devices. However, a decade later, it is considered ancient in software years.

Because you are searching for a legacy APK, you are a prime target for malicious sites. Many fake "Netflix 4.4.4 APK" files contain adware or keyloggers.