According to article there is a huge amount of SEPA fraud going around because seller receives you banking details. Unauthorized direct debit maybe?
SEPA push, whose are, by definition, manual actions from yourself via the web interface of your bank are not reversible. But that’s probably not the most frictionless method so it’s rarely used other than people to people transactions, between your own bank accounts, or for really big purchases like buying a car.
It surely can be an issue but I'm not familiar with people refusing to share their IBAN number because they're afraid of random charges, which is a thing for ACH numbers.