This comes up every now and then. Here's my take on it:
The LW BCG will run faster and harder with a standard carbine buffer. You will be over gassing the rifle even more than the normal design. Some on here have had an issue with the BCG cycling faster than the magazine can feed, then they start chasing their tail with buffers and springs as a band aid. Sure, you can add heavier buffers in the back end to slow cycling down, but what's the point of lightening the BCG only to add compensating weight into the buffer tube? Its a rhetorical question, there is no point. You end up paying more for a LW BCG than a standard, and you end up paying more for the heavier buffer than the standard, just to shift weight from one point to another.
I don't mess with changing springs other than I have some enhanced standard springs and the JP silent capture spring with carbine weight setup on a suppressed rifle. Changing springs is too much of a can of worms in my opinion, and I want springs to be interchangeable throughout all my ARs. The JP silent capture spring is for applications in which you want to quiet down the action, and strives to be comparable to the carbine buffer weight, or H, H2, etc if you have the weight adjustment kit. You're just paying $130 or so for an H2 JP SCS rather than just getting a regular H2 buffer for about $30, on top of already paying more for the LW BCG. All that and you're still adding weight to the buffer to cancel out the LW carrier. At that point you've gone full retard.
Get the adjustable Gas Block and don't look back. You can then run LW BCG with the carbine buffer weight, or even lighter-than-carbine buffer weight. You are making a LW build after all.