2.5A will be fine … since the original adaptor is 1.5A that’s all the current that will be drawn from the 2.5A
The BIG NO-NO is using a lower amperage adaptor eg. 1.0A which will run hot and eventually burn out the adaptor.
Also that website you posted a link to, says it’s compatible as well…
This power supply is compatible with ALL Western Digital Media Players.
Western Digital model number: WDPS038RNN
WD Elements WDBACC0010HBK WDBMCE0020HBK WDBNLC0020HBK WDBNLC0010HBK WDBMCE0010HBK
WD TV Mini WDBAAM0000NBK WDBAAL0000NBK
WD TV HD WDAVN00BN WDAVP00BE WDAVN00BS WDAVP00BS WDBABG0000NBK WDBABF0000NBK
WD TV Live WDBAAP0000NBK WDBAAN0000NBK
WD TV Live Plus HD WDBABX0000N WDBABX0000NBK WDBREC0000NBK WDBG3A0000 WDBG3A0000NBK
WD TV Live Hub WDBABZ0010BBK WDBACA0010BBK
WD TV Live (Latest) WDBHG70000NBK WDBGXT0000NBK
This power supply is compatible with the following Western Digital storage systems. Western Digital model number: WDPS037RNN
My Book Essential: WDBAAFxxxx WDBACWxxxx
My Book Live: WDBACGxxxx
My Book for Mac: WDBAAGxxxx
My Book Studio: WDBC3Gxxxx WDBAAJxxxx WDH1Qxxxx
My Book Studio LX: WDBACHxxxx
My Book Elite: WDBAAHxxxx
My Book 3.0: WDBABPxxxx WDBAAKxxxx
My Book Home Edition: WDH1CSxxxx
My Book Office Edition: WDH1Bxxxx
_ WD Elements Desktop: WDBAAUxxxx _
