No need to apologize; it's a common misconception that "discontinued" = "unsupported". The latest macOS Time Machine instructions include the latest TC models — as well as the recent AEBS, which as I wrote is a first for Apple's Support documents.
Apple also updated the firmware for those devices long after they discontinued them.
Years ago I did purchase a Synology NAS device. It was never reliable with Time Machine. After several weeks of testing, reconfiguring and simplifying my network to their liking to the point it could not be made any simpler, updating software, backing up / restoring (or trying to) and generally beating my head against a wall I gave up on it, returned it to them and they very reluctantly refunded my money. Since then I have relied exclusively on genuine Apple AEBSs, Time Capsules, inexpensive USB hard disks connected to them, or directly connected to the Macs they back up. They have been 100% reliable. Not 99.999% but 100%. Not one failure to back up or restore, ever.
I understand some people successfully use the Synology with Time Machine but that was not my experience, and not one I am likely to ever repeat. Weeks of wasted time.
As far as Wi-Fi speeds the 802.11ac base stations Wi-Fi speeds exceed Gigabit Ethernet. Not that it matters to TM because backups are a low priority task that comes nowhere near the throughput 802.11ac base stations are capable of.
The original "flat" Time Capsules use external power supplies and maybe that's a better idea, but I haven't had any power supplies fail either. Nothing lasts forever though, but I miss the fact they just worked without difficulty or complaint.
External hard drives seemed like a better option with an Airport Extreme.
They are, since they're cheap and disposable, but I have never attempted to use Time Machine with an 802.11n only Extreme — the ones no longer supported. With the understanding that everyone's backup requirements are different, backups are too important to me to risk unsupported configurations. Even if it "worked" I wouldn't advise anyone else to do it. That's also why I gave up on Synology. They lost my trust. Not that they earned it to begin with... their tech support never seemed very competent to me, and were quick to blame anyone and everyone but themselves for their failures.
Judging from other reports on this site I put the Western Digital "MyCloud" in the same category. Never tried Ubiquiti. Maybe one day.
Bottom line, to get an Airport Extreme to work with Time Machine, I am going to have to get a used 802.11AC
Or a used Time Capsule. Any model will do all the way back to the original one, although later models had larger capacity drives and are more desirable. They used to be inexpensive on the used market but their prices have been creeping up. If you can find one at a reasonable price, I'd get it.