Is it too much to expect both?
The teams at the top of the division aren't carrying any passengers. Their strikers run themselves silly, track back, make tackles etc. The only players I think can justifiably earn themselves a pass on that front are maybe Messi or Ronaldo, because they're offering so much down the other end that their teammates will happily do extra running for them.
If there are two players of roughly comparable talent and one puts a shift in and the other doesn't, it's not worth promoting the second just because he's got slightly better attributes, because doing so is going to destroy the entire team ethic which is the only chance a club like Everton has of bridging the gap to the biggest, best financed sides.