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Well, any aftermarket speaker needs more RMS than what the head unit can put out. It really depends on how loud you listen to your music. Yes, running simply the coax's all the way around would be better on the HU.
Now, some people are going to say "oh it can be done, yada yada yada, I run this with no problems."
When I do installs I make sure there can be no foreseeable problems. Yes you can do it, but also heat up the internal amp a great deal depending on volume. Also, by running the factory tweeters, the impedance changes slightly and can cause higher heat from the internal amp.
My advice: if you listen to it very softly, you can run either way and get by. If you tend to turn it up on the highway with the windows down in the summer, get the amp.
My .02 and have been doing installs for 8 years.
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