I have a website on a bucket in Amazon S3, and recently started to get emails from Google "Googlebot can't access your site". When I go to Webmaster Tools and I try to fetch in fact it doesn't work. Also people in locations different from mine sometimes reported they could not access the website.

Now for curiosity I tried from my terminal:

$ host xxx
xxx is an alias for xxx.s3-website-us-west-1.amazonaws.com.
xxx.s3-website-us-west-1.amazonaws.com is an alias for s3-website-us-west-1.amazonaws.com.
s3-website-us-west-1.amazonaws.com has address yyy.yyy.yyy.yyy

And when I try with dig:

$ dig xxx

; <<>> DiG 9.8.3-P1 <<>> xxx
;; global options: +cmd
;; Got answer:
;; ->>HEADER<<- opcode: QUERY, status: NOERROR, id: 17860
;; flags: qr rd ra; QUERY: 1, ANSWER: 3, AUTHORITY: 0, ADDITIONAL: 0

;; QUESTION SECTION:
;xxx.       IN  A

;; ANSWER SECTION:
xxx.    300 IN  CNAME   xxx.s3-website-us-west-1.amazonaws.com.
xxx.s3-website-us-west-1.amazonaws.com. 60 IN CNAME s3-website-us-west-1.amazonaws.com.
s3-website-us-west-1.amazonaws.com. 60 IN A yyy

;; Query time: 1514 msec
;; SERVER: 75.75.75.75#53(75.75.75.75)
;; WHEN: Fri Aug 22 12:32:13 2014
;; MSG SIZE  rcvd: 127

It seems OK to me. Why would Google tell me there is a DNS error?

UPDATE:

Google also cannot fetch robots.txt, but I can fetch it from my browser.

UPDATE 2:

I have a forwarding on the root to the www.* hostname:

$ dig thenifty.me

; <<>> DiG 9.8.3-P1 <<>> thenifty.me
;; global options: +cmd
;; Got answer:
;; ->>HEADER<<- opcode: QUERY, status: NOERROR, id: 49286
;; flags: qr rd ra; QUERY: 1, ANSWER: 0, AUTHORITY: 1, ADDITIONAL: 0

;; QUESTION SECTION:
;thenifty.me.           IN  A

;; AUTHORITY SECTION:
thenifty.me.        300 IN  SOA ns1hwy.name.com. support.name.com. 1 10800 3600 604800 300

;; Query time: 148 msec
;; SERVER: 75.75.75.75#53(75.75.75.75)
;; WHEN: Fri Aug 22 13:32:56 2014
;; MSG SIZE  rcvd: 88