In the liveATC clip on this YouTube video, an American Airlines 767 arriving at SFO (San Francisco International) had been cleared to land on 28R, but, apparently while already on final, was told to switch to 28L.
The initial clearance given as
American 2293 Heavy, San Francisco Tower, Wind 210 at 18, Caution Wake Turbulence, Heavy 767 mile-and-a-half final, Runway 28 Right, Cleared to Land.
which was read back, as per the usual. However, the Tower later sent the following transmission:
American 2293 Heavy, Change to Cleared to Land Runway 28 Left
which the pilot read back as
28L, Cleared to Land. American 2293 Heavy.
However, the pilot was seemingly too focused on flying the final to notice that the runway assignment had changed between the clearances and continued flying final to 28R, nearly resulting in landing on top of a United jet that was subsequently cleared to line-up-and-wait on 28R. Fortunately, the United pilot noticed the big 767 flying towards him and exited the runway on the other side instead of lining up. Tower then instructed American 2293 to go around.
It seems to me that the phraseology used to change the clearance here is too close to sounding like the controller is just repeating the initial landing clearance, rather than directing a busy pilot's attention to the fact that he was just told to change runways while apparently already flying final.
My question is: Was the phraseology correct for this change of the clearance? If not, what is the proper phraseology?
Given that this was in the U.S., I'm looking for FAA phraseology.