Looking for some advice. 1) Can I use a mono-cable splitter (e.g. from radio shack) to trigger two different power amps? 2) Are there any advantages or disadvantages versus leaving the amps on all of the time? 3) Any other thoughts?

Background:I have a Outlaw 1050 which comes with a trigger cable. For power amps I have a Parasound HCA-1200IIA which comes with a 12v trigger (bare wire) but I have never used it leaving the amp pretty much powered up continuously. I am getting a Outlaw 750 via ebay (a previous purchase of a Parasound 855 fell through), which also has a trigger.
It seems I could use the splitter to trigger both amps with the appropriate attachments after the splitter.