OK, lets put some perspective on this.
This vid shows what you are presented with as soon as you switch on the Prime Pumps.
In addition to the Master Caution light in front of the pilot, you get the CAD cautions of PRIME PUMP, the flashing bars and the audio.
(please ignore the warning lights as the ac was shutdown)
This is a snapshot taken from the TFO's viewpoint.
You can see the Master Caution light, the CAD indications of the PRIME PUMP cautions, the bars, and they will also get the audio.
Finally for this post, this is the CAD after the PRIME PUMP caution has been acknowledged.
This is what the CAD would normally be indicating in the situation of;
Transfer Pumps off and Prime Pumps on.
As you can see, there's a lot going on that has to be 'ignored' by each member of the crew.
Still convinced that all was indicating as it should?