is counterparty ready for the issuance of basic assets? something simple like claim checks?
Yes, you can issue assets in counterparty. The functionality has been in place for a month, you are welcome to check it out. http://www.blockscan.com/asset.aspx
Any considerable risk of the asset getting wiped at some point in the future? can people trade them with each other?
I don't forsee a reason for any asset being wiped out. They are being used for 'real' purposes now.
There are some real user issued assets that are in circulation and yes they can be traded in the DEX.