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It's more complicated than simply sending to a wrong address..
[Edit]

they're saying bittrex account on bitshares is not theirs, which is absolutely possible.

However, they have a message in my screenshot saying to send to account "bittrex", how are a Steem account and a bitshares account two different things, when Steem is a bitshares token? (see screenshot above)

Are OpenLedger accounts not bitshares accounts underneath?

[Edit] BitShares and STEEM are separate blockchains - see below

Bitshares/OpenLedger is on bitshares chain.
Steem is on steem chain. They are only via gateways connected

this explains alot, will be taking it further with CCDEK.

In the meantime awaiting professional response from bittrex.