Well I don't know if it's changed recently but the last time I had to uninstall the APK rhis is exactly what happend but like I said it may have changed 🤷♂️
They DO confict with each other because they are both hooked up to your official google account and normally if you delete the APK MOD and re-download the original you will be severely in debt.
In my experiences chrome always trys to stop any apk file download with that warning. Have you tried going into your download files and seeing if it properly installed? That was my main issue previously. Let me know if that helps.
Ok now I may just be stupid but no matter how many times I follow the update directions I still get it asking for an update. Is this a common problem? Or am I just far too stupid?