Yes.

Then what is the difference between storing bitcoin in Blockchain OR paper wallet?
Database is Blockchain.
I am thinking about paper wallet seriously. Because, almost 4 months ago Blockchain had problems..
Website was not opening for 1 full day. It was their maintenence.
That time I was very worried, When blochain is back as normal, I transfered my all Bitcoin from Blockchain to Coinbase.
After that  I never used Blockchain again.
If blockchain is again getting problem, I think we cant use my Paper wallet bitcoins.
I had a bad experience with Liberty Reserve. I had dollars in Liberty Reserve when they stoped their website.