Problems with ID

I have been sent an annoted image of this bird with a list of features indicating that it is most probably no more than a Crested Lark, they are a very common species here, that evidence seems to prove this beyond a doubt. This just goes to show how bad light and distance can screw up ones ID skills even on birds that one is familiar with. Other suggestions where Woodlark, Skylark and Lesser Short-toed Lark, I thought myself at one time even Small Skylark - Alauda gulgula but that was wrong. Thanks everyone who has had a look.

For comparision - below are three pictures taken within the last week of our Crested Larks each at a different location and in different light.