Hardly dubious; this is one of Bitcoin's primary strengths. Have you never sent or received bitcoins?!?
"process transactions faster than either" is dubious unless you're completely happy to consider the transaction 'processed' with zero confirmations.
Many merchants won't be. It depends on the amount I guess.
"all without any fees" - while transactions seem to be accepted with zero fees right now - some people have already had problems with this. Sometimes a zero-fee transaction can appear to stall. This is another reason why 'processes transactions faster' is dubious.
With software improvements, and perhaps special services to allow fast small transactions - then 'faster' could be a reality.
"all without fees" is not likely to be the case long term.
So.. I still say it's *dubious* to claim these properties now. Already there are people on the forums who have expected these properties due to previous such claims, and have professed their disappointment on discovering the reality.