Well if you can use the false correlation relating numerous goals/assists to being an effective AM for the team. Might be a false dichotomy, but the fact that we have three certain records (most goals ever in a BPL season, fewest goals ever in a BPL season and most points won in a BPL season) and that we got the most points when we conceded the fewest goals, not when we scored the most goals, suggests a stronger correlation between not conceding and points versus scoring and points.
That aside, who says we are choosing massively between goals and assists? The difference between Schurrle's goals and Willians's (7, btw) is the exact same as the difference between Willians assists and Schurrle's (7) since the start of last season. We dont lose goals as a team, which is really what it is about. I mean Schurrle isnt exactly Lampard here, though obviously no one has informed him because he shoots the ball anytime he has a tenth of a chance. In fact, in the face of your claims that Willian has way more game time, I would point out that over that same time frame Schurrle has 50% more shots than Willian. That statistic/tendency, with the fact Willian has far more assists, would indicate that while Schurrle may get more goals himself, Willian is more conducive to the team as a whole scoring. I wonder if any of that enters the equation of why we see him feature ahead of Schurrle.
Would I take Sanchez over Schurrle? Of course, before and after the fact. I just think if you want to compare Willian to other players around his price range that it is ignorant to only do so with the players who have been massive successes and ignore the flops. Talk about stacking the deck.
If you think Ivan has been as committed to his defense duties this season compared to those in the past, you've clearly not been paying attention or are using some selective bias. How many times have we been punished on that side? I still rate him highly, but its not uncommon for Willian to be back on defence before him and I remember seeing Ivan actually be the last one back on a counter, taking time to waste energy in a display of disappointment, when everyone else was hauling ass. Never seen it before this season from him. Schurrle gets the same cover, but aside from more of him shooting and turnovers, do we see an improvement in the team when he is on? Only when Schurrle is on his A game and that's not a consistent thing by any measurement, especially when his major sole contribution appears to be goals. He is not a better defensive asset than Willian, I think all sides have agreed, but will you claim Schurrle has the better touch? Has the better vision? Has the better passing? Has the better dribbling? All very important to the team while not being heralded as goals and assists. Schurrle might get more goals, but are you considering all the other things that he currently seems to lack compared to Willian?
Willian can be improved upon but it would likely cost more than his own fee and it certainly doesn't appear an improvement will come from within the squad this season. Jose has apparently identified that Schurrle works best as an impact sub. Schurrle might be more likely to get goals but Willian is better suited to making a team tick when the strategy is based on possession and high pressing, the statistics, team performance and Jose's selections seemed to back this. If anything, JM has sacrificed even more starts this season for Schurrle to give them to William compared to last. Hate to trot it out, but the fact that JM orchestrated his purchase and continued selection indicates that someone far better than either of us in this arena thinks Willian the better current option for starting most games. And quite frankly, you want to see Willian score more? Just have him shoot as much as Schurrle does. Through enough crap at a wall and some of it sticks.