That's not really how a real campfire looks like. It is hottest, almost white at the centre, and the flames turn darker, more orange towards the edges. I also used to do it the other way around, until I saw some comments about it on a thread somewhere.
http://www.123rf.com/stock-photo/flame.html
I agree with what you are saying, and realise painting flames is always going to be a bit abstract anyway, but if you actually look at some of the images in the link you posted, especially the close up of the 'candles in the dark' image, nearest the candle wick, the flame is actually absent, there is an orange 'gap' before the incandescent glowing tip of the flame reaches out about it; brightest yellow at its tip...
Similar effect is seen under the bbg grill; its kind of orange red down near the coals with the yellow flames licking upwards toward the grill level... at least thats what my eyes see...
If you ever study something burning closely (dont get too close) the material that is burning has to 'vapourise' for it to burn and produce a flame, so the flame itself appears to hover fractionally above the item burning, and again as heat rises that hottest part of the flame will be up near towards the top, but down against the item that is actually burning, in this case the sticks of the campfire, its more likely to appear an orangey red in colour...
regards
Scott