I am having a similar issue where I keep getting some DNS error **bleep**. I've tried going wired it still does the same thing. I try chaning my DNS to the google public DNS and it still does not work. I cannot even sign in to PSN because of this. Anyone else experiecing something similar?
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What did you update in your wireless settings? I contacted Sony Support and was told to start the PS4 on safe mode, restore default settings and to rebuild the database, then to change my DNS servers to 188.8.131.52 (DNS1) and 184.108.40.206 (DNS2). This helped a little bit but still having issues with rubber band lagging. Anyone else find a solution?
If this problem is widespread like this then Sony really needs to address this and make a new update because I haven't be able to log onto the internet on my PS4 since that update and they can't say it is something on my end because I can log onto the internet just fine on my PS3.