I have watched base designs as simple as that one being defended successfully.
Yes, you will loose a bunch of spikes - they are consumables - but if you pay attention and defend your base it's very much doable.
Some players are still stuck in A16 mode where you could safely ignore zombies who were swinging at the walls. The super log spikes would get them eventually. Maybe contemplate sauntering over and repairing that wall once you have finished your tea.
The hysteria over zombies being able to destroy walls at all is quite comical. =)