Did they? My memory might be hazy but I didn't see any overall support for Russia when the plane was downed. Most Western media was fully OK with Turkey defending its borders, merely cautioning that this shouldn't escalate.
Yeah as far as english language media is concerned it was hostile. In the UK i remember reading headlines like kick Turkey out of NATO, enemy of the west etc. Many politicians from NATO members condemned Turkey for it. Most nations even pulled their material support from Turkey. I think only Spanish air defences remained even then, i think they are located within the american base to protect America not so much Turkey.
Then of course the media played on the whole racial angle of Turks being non european and muslim, while russians are white european christians. Implying why are defending savage brown skinned muslims against the white christian european. It was pretty sickening stuff, but here in england that sort of hostility towards Turkey is quite normal within the media.