Yes, if you check with bank account - deposit + return so they will see your name.
if you LOAD monney on account trought your OWN bank = problem = dismathing name
Means your account is NOT ok.
they will not "ask" the bank , but they will see the name on your attached IBAN when you perform the check by bank.
If you do that with cards or a better stealth way, you will be safe in ebay.nl
Now ADD a bank account to your paypal to "upgrade" or allow transfert, you will be ok.
That means : You send monney to your Bank from Paypal : they not see you name BUT bank can reject transfert (dismatching name)
your withdraw can be rejected depend the bank...
-So choose a GOOD bank to do withdraw. or use other techniques... ->Do Small test.
-Check your PP with bank = ok with prepaid card and micro deposit attached(prepaid with no name, and NOT rejected by PP ) --->>> Google !!! you can find a way! -->> Buy diffrents cards online , do test (invest monney , you can loose some cash, for sure...) Research = INVESTMENT (a big one!)
I tested more than 10/20/XX card BEFORE find an opperationnal system for each place. reallly!
(but i travel a few and visit few countrys...)
Some country have their adventages (for banks stealth solutions) ...
... Normal, a bank account is like a "patatoes" --->> you buy on your market...
So for a bank account, you will ask to a bank... in normal way...
you can buy these patatoes in market (official BANKS) , you can also buy a patatoes in a non official "market" ... you can find RESSELERS !!! --->> GOOGLE ^^ !!!!!!!!!!
There are many kinds of diffrents systems: somes: you need attach your ID card and personnal data "SSN, or equivalent" to be able to check your 4 digit when you check paypal... Other cards requierd ANY kind of "registration"... i say ANY. (yes)
....Good luck
Take care