From the 3 online wallets you mentioned Coinbase seems to stand the most against bitcoin principles.
By using their services you basically give up your privacy and exchange it for convenience?
It is widely known that Coinbase and Xapo are monitoring your every transaction and will lock your account in case something is "wrong".
For those supported countries, it's quite not wrong if they ask for your main information since they are complying with money laws by country. It's just a part of securites to ensure the safety of the customers.
About the last part of your post, well if they sees any wrong then it's obvious that is a eligible for account locked. The investigation must take place then.