Unfortunately, from my quick test, I don't see any network performance improvements in comparison to the 10-year-old ath9k AP. I guess the 300 Mbps IPv4 NAT overhead was not as large as I anticipated, and the RF front-end on my old router was not fried in contrary to my suspicion. It's just plain bad signal reception (but perhaps my tablet's antenna is defective after dropping it one time). I may or may not try tweaking some 802.11 options tomorrow.

(Update: further testing showed a moderate improvement, see thread).