My new WiFi issues: I have dead spots in my house/yard where I didn't have them before with Time Capsule. AT&T (their Hub/Router) has a network manager software. I got a proactive message from it with dropped connections on me iPhone to use the Network Manager to optimize the Network. I never had this issue with the Time Capsule in the 10 years of 3 locations with the Time Capsule.
I have never had any trouble with any Time Capsule ever and I have many of them, several different models in multiple locations in three US states. Not one problem to back up or restore, never in the history of Time Machine. Not 99.999% but 100%. They remain in continuous daily service, even in some arguably complex mixed network installations. I realize they are old but the newest ones remain fully supported... for the moment.
I tried a Synology NAS and had the opposite experience. 100% failures. It never worked, despite at least two weeks of testing under direction of Synology's support, including reducing my network configuration to the simplest practicable installation. They blamed everyone and everything... me, Apple, my network, everyone but themselves. I gave up. Nothing but frustration and wasted time I'll never get back. They not so cheerfully refunded my money.
The problems you describe ("... it backs up for a while, a few days, then quits") are common, have been reported for well over a decade, and are similar to my own experience. Everyone's backup needs are different but mine are such that anything less than 100% reliable is not acceptable.
What's worse than backing up for a few days then quitting? When you find yourself in a dire need to restore that backup and only then you find out you can't. That was commonly reported.
C'mon Apple, a small 'freshen up' is all the product needs
Apple isn't here. You don't need to tell us, tell them. Their decision to discontinue the AirPort product line remains one of their most inexplicable blunders of all time.