BTS trading/security/wallet

[onceuponatime]

I traded BTC for BTS on Bter.  Should I or could I transfer the BTS into the BitShares Wallet for security purposes.  Some confusion here regarding the wallet and security.  Why would one hold BTS in a wallet while missing out on the advantages of holding on an exchange like Bter?
Thanks

Some people consider exchanges to be central points of failure (they could be shut down by a government, their funds seized, etc.), and so recommend only holding funds on an exchange when you are actively buying or selling.

Others think that the convenience makes up for the higher risk.

[Catchfire]

I traded BTC for BTS on Bter.  Should I or could I transfer the BTS into the BitShares Wallet for security purposes.  Some confusion here regarding the wallet and security.  Why would one hold BTS in a wallet while missing out on the advantages of holding on an exchange like Bter?
Thanks