The phrase "despite their advantage" is correct and usable in written English.
You can use it to indicate that you are aware of an advantage that one side has, but that this advantage does not change the outcome of a situation. For example: "Despite their advantage in resources, the small team was able to outcompete the larger company."
Despite their advantage, Canada was unable to put a puck past Tretiak, and the first period ended with no scoring.
Ethnic politics have always been a significant factor in this district — Vietnamese Americans have been known to turn out for Vietnamese candidates, and the same can be said for Latinos, who, despite their advantage in registration, don't vote at high rates.
Despite their advantage as validated, comprehensive and feasible questionnaires, the limited number of scope of practice items has weakened their discrimination capacity for quantification of the scope.
Despite their advantage in the presence of antibiotics, resistance mutations are usually deleterious in the absence of antibiotics, because they often modify vital cellular functions and are highly pleiotropic.
While diverse systems have been developed to incorporate UAAs in response to the amber codon, less research has been focused on four-base codons despites their advantages.
Despite their advantages, whole plastinated cadavers are unlikely to replace whole embalmed cadavers in medical school gross anatomy labs.
Despite their advantages, continental Europe has not been partial to iron-bodied planes with screw and lever adjustments, and such tools cost much more than the still common wooden plane with wedge and hammer adjustment.
However, despite their advantages, these patterns present some shortcomings.
Despite their advantages, these products may exhibit low ductility and volume instability.
Despite their advantages, NLOS is a major problem for these technologies.
However, despite their advantages over the injectable route, oral vaccines face many hurdles.
