To add on, they do require different lasers, but whether they require separate lasers really boils down to a semantic argument over the definition of “separate”, especially given that many companies prefer to integrate things in such a way as to reduce their costs whenever possible.
If they can make one laser that does three different frequencies that costs less to make than having three separate lasers and doesn’t cost too much to retool their production lines, they will. Of course, if the retooling costs are too high then they won’t even if it would save them money and/or enhance profit margins in the long run. And since there are different companies that make such drives, I think it depends on the company.
I wish this were a strictly technical question, but any time we are talking about consumer products, it gets more complicated than even I feel it needs to be.