yes, but in many cases that is because this payment method predates "modern" online payment and they "just kept it around"
depending on what you buy "a lot" can be close to non or close to all
In the end it has major issues:
on the consumer side
- majorly reduced consumer protection compared to e.g. pay pal. If you wire transfer by yourself doing charge backs ~two weeks later after not getting the goods is hard, potentially non-viable (dep. on country etc.).
- you can typo address or reference number, leading to a lot of headaches (also recently they changed it so that the recipient "name" has to be correct, but many companies send you only IBAN,BIC,ref number and not the exact by letter company name under which the bank account operates...)
on the seller side (sometimes also affecting consumer)
- the order is in a "in-between" state until they receive the money, which can be days. During that time they can't rely on actually receiving the money but they also have to keep the good ready to sell. Especially in situations where you e.g. sell limited time/amount goods (e.g. resellers, collector goods etc.) this can be a pain. If you then add any form of expiration data (e.g. concert ticket) this can make the payment method a absolute no-go.
- your selling/order processing system needs access to your companies incoming transaction history, which preferably should be a separate account. This mean additional administrative overhead and failure conditions. Also many such systems are kinda build crappy in my experience.
while I have been using that in some situations it really isn't competitive as a modern online banking solutions
but what it also shows is that you can get really far with comparably "dump/naive" methods.
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Also for completion there is one additional SEPA method: That is you give the company the right to just take money from you bank account. You can split that into 2 versions: 1) permission for fixed amount reoccurring payments (e.g. donations,subscriptions) 2) arbitrary amounts at arbitrary times. The later requires a relatively high burden/overhead on the sellers side so you only see it with Amazone or Paypal
Standard legal protections still apply, one of you can sue the other for failing to fulfil the legally binding contract you made when you clicked checkout. Credit card payment can be fraudulent too, in all the same ways.