I'm not convinced the wifi speed is THE limiting factor. The speed is there and the OP could test copy speed on wifi vs. ethernet and compare that to the ratio of TM on wifi vs. ethernet. There's a lot going on when a TM backs up over wifi and I'd bet the wifi to ethernet ratio is a lot lower for the TM backup.
But the speed would be limited to the highest speed that WiFi can negotiate at. If I have 2 servers that have Gigabit ethernet cards in each server, but they are connected to a 10/100 switch, I'm limited to 10/100 speeds, because that is the fastest that the switch can serve.
Same would apply with his router. If the router is capable of 802.11ac, but his Mac's WiFi card can only do 802.11n, the transfer can only go as fast as the slowest card available, which is 802.11n. Yes, the router can use faster transfer speeds, but the Mac can't, as it can only transfer data as fast as 802.11n.
I've backed up my MBA over WiFi, and it was just as bad.. Mine is capable of 802.11n, but thanks to my ISP's modem (ATT U-Verse), I'm limited to 802.11g speeds. backing up 256GB of data over that to my Synology NAS took roughly the same amount of time. I didn't try USB to Ethernet, as I actually had the time to do this (let it start overnight and didn't need to use it the following day), but it still took just as long. I've been going to a portable USB drive, which is obviously faster, as I'm limited to the copy speed over USB versus WiFi, but if I went over WiFi again, I'd have the same problem.
BL.
[doublepost=1492475126][/doublepost]
I believe the Classic model did, but my Retina model doesn't. Both were available at that time. Of course, now that I know my WiFi is 11n, and my SSD is SATA, not PCIe, I'm starting to hanker for a new Mac. And then I'll get to deal with all the adapters I'll need since that only has USB-C ports. Gads, it never gets easier with Apple.
Know the feeling. My wife has the rMB. but she really needs a 15" screen (she's legally blind), so she's definitely going to go up to the latest MBP, regardless of TouchBar or not.. We're going to sell her rMB, as I'm going to need more than one port as well, and with USB-C... If we didn't need the portability, I'd go back to building another Hackintosh, and I'm done with building my own machines..
I read someplace that if File Vault is used, which I do, then decryption of the data is a time factor, too. I don't see that normally, so maybe that's involved.
With Legacy FileVault that may be right.. FileVault 2, not that I can really see, because the drive is already unlocked while the Mac is on, and TM isn't doing a block copy of the data for the backup..
oh yeah.. thanks for reminding me.. I'm coming up on ACSP exams again..
BL.