Nope. The B isn't even needed.
Good luck convincing our USMC brethren about that. They are the primary reason the B exists at all.
And BTW, if it turns out the Marines were wrong and a STOVL isn't needed after all, that's
not LM's fault. The government required LM (and Boeing, and McDonnell Douglas) to design and build a STOVL version. And if it turns out that having both an A and C version is a bad idea (as has been suggested), that's also not LM's fault. The government required LM (and Boeing, and McDonnell Douglas) to design and build different USAF and USN versions.
By the same token, if it turns out that a carrier capable attack jet with a single very large engine is a bad idea, that's not the designer's fault either. The government required LM (and Boeing, and McDonnell Douglas) to design and build a single engine jet. Indeed, that's primarily why McDonnell Douglas's JSF proposal failed. MDC's USAF and USN versions were single engine but their Marine version had a second lift engine. All of MDC's versions were in many ways better than LM's (LM specifically called their design "conservative" in order to "reduce risk"), but because MDC's Marine version had that second engine, they were eliminated early on. So for those who insist a contractor should question a government requirement, think again. The contractor will be slapped down by the government at great expense to the contractor.