Please update this thread if anything changes. It would definitely help with privacy of btc sellers not to give out the account holder name at their bank. Selling via bank SEPA on Bitsquare is a big advertisement to people, saying "This person has bitcoin, resides in country X and does business with bank Y".
It is not hard to imagine in today's world that hackers will catch on and be willing to lose a security deposit in order to carry out spearfishing attacks on bitsquare users. Heck, they don't even have to lose the deposit if they are willing to buy some coin.
This security concern, however, greatly depends on the bank's willingness to identify recipient names to IBAN numbers. If it is trivial to socially engineer the name from the banks, it would just be one more hoop to jump through. If anyone knows the details on that, it would be great to hear.