I tend to think the Sturridge comparison is slightly lazy. Sturridge was unfortunate to find himself at 2 petro dollar clubs with a plethora of forwards. Sturridge was always a fantastic finisher. Even Drogba said he was the best finisher at Chelsea when he was there and I didn't think that was far fetched at the the time. Sometimes finishing alone is not enough, which is precisely why Giroud players over Podolski in attack.
Welbecks' finishing is no where near as polished or natural as Sturridge's but he does has his strengths even if Sturridge, he is not. He is more closely compared to Andy Cole, who had a knack for making the runs, but not a knack for making a whole in one.