"Illegally transferring money" may mean the following, which would not be called "stealing":
* Transferring money between two bank accounts neither of which one owns. For example, I could transfer money from niggler's bank account to Obama's bank account, without personally benefiting from it, "for the lulz," or for trying to see if I actually have access to do that after having hacked into a bank's system.
* Transferring my own money from my bank account to another bank without having permission to do so. Maybe the money has been frozen in some way. In that case, it is my own money, so it isn't stealing.
Not sure what happened here, but the term is broader.
They tried (and succeeded in one case) to transfer money between accounts, without authorization so illegally transferring money seems to be the correct wording?
Stealing does tend to be associated with physical theft?
* Transferring money between two bank accounts neither of which one owns. For example, I could transfer money from niggler's bank account to Obama's bank account, without personally benefiting from it, "for the lulz," or for trying to see if I actually have access to do that after having hacked into a bank's system.
* Transferring my own money from my bank account to another bank without having permission to do so. Maybe the money has been frozen in some way. In that case, it is my own money, so it isn't stealing.
Not sure what happened here, but the term is broader.