WTS does NOT recognized baptisms of other religions.
Yes, this is clear. It seems both JW and Catholic church don't recognize each other's baptism over interpretation of scripture. Ultimately both claim the spirit directs them to their each conclusion. Maybe they're just both valid. After all, neither invokes satan or belzebub in their baptism ritual.
Why would anyone care what the Catholic church thinks about another religion?
It does appear that the Catholic church holds more authority and weight on the basis of its history and tradition across millenia (than JW). It's difficult to ascertain and judge any Christian religion if it isn't against or in contrast to the earliest one.