But the Hereford boss bemoaned the sending off of Sam Hewson for handball in the 55th minute after the Bulls were beaten in the relegation six-pointer at Gresty Road.
"It's disappointing to throw it away at the end after we got ourselves back in it," said Turner. "Maybe the keeper should have got to it but you can't blame him as he has pulled off some great saves to keep us in it.
"We couldn't handle Crewe. Going down to 10 men meant it is was even harder for us as we were up against it with 11 men.
"Sometimes you have to hold your hands up and say we were up against a better team that are in a false position.
"The new manager has got them organised and stronger and you could see from the quality they have, and from the money they have spent, they should be up their going for promotion."