Any fan like myself who started watching mid to late eighties Albion would struggle to understand the idea of "The West Brom way" unless it just meant being a bit ****
However, i had a few older baggies in the family and loved to read the History books. Seemed to me that we were a team with a good pedigree, who had had won the big trophies back in the past, but were still respected by football fans across the country for playing attacking football and having a couple of really special players adored by each generation.
I have personally always been happier, and carried a sense of pride, when regardless of ability or division we have had managers committed to playing attacking football as it seemed to be the right way to play. SGM did things a little differently for his promotion winning teams, they still attacked but once we scored we could game manage 1-0's with our eyes closed and i also took great delight in that.
For me the Albion way is now more about knowing who we are and how the club should be run, rather than the style of football we play. We can't compete financially for the best players (and JP may have been right after all) but have been competitive a PL level by a finding a mixture of players with something to prove who need a chance and those with potential not yet spotted, who see coming to the Albion as a step up and who seem to wear the shirt with pride.
The players i'm thinking of that embody those values weren't necessarily the best footballers but were part of teams that we could be proud of despite results. In a team that may not be the most technically talented you need battlers and leaders across the pitch and players from across the intervening years like Mcinnes, Gilchrist, Butler, Clem, Moore, Taylor, AJ, Thomas, Greening, PO, Sharner, Jonas, Mulumbu, Jacob, Gmac, Reid, Campbell, Brunt, Mozza are names that spring straight to mind.
So i guess for me the Albion way is having a team you can feel proud of and players you can connect with regardless of the way they play. Although if the team play in an attacking way, and have a sprinkling of skillful players, then all the better.