Westside will definitely improve the raw strength side of things. If you read through the method carefully you will see that size is important as well so that the powerlifter will have a solid base with which to lift huge weights. Read Dave Tate's "periodisation bible" on this site for more info. I think he covers this in part 2.
I may be wrong, but from what I've read this is probably the main variation you will find on this site of the Westside powerlifting template and was designed mainly for football.
I'm a bit confused with this statement. Westside IS only a form of the conjugate training approach, it's taken the conjugate training principles (once again read the Dave Tate article I mentioned) and been specialised to suit powerlifters. I think you need to approach it from the other direction and see what form of conjugate training will help you reach your goals, and not what variation of Westside you need, do you see what I mean here?
For example, most, if not all, of Chad Waterbury's programs utilise the conjugate approach, but they are certainly not Westside programs. All conjugate training does is train multiple strength qualities at the same time. Chad's programs are probably more targeted and easier to use for simple raw strength and size gains compared to Westside which as someone else mentioned here is geared towards performing the powerlifts.
So if you want to do conjugate training for strength and size I'd suggest make things easy for yourself and either do WSSB or follow the recommended progression of Chad's programs, just doing these alone will give you a couple of years of training without even having to think about tinkering with a template!
Hope this helps,