Yeah but they would need interstellar-type of timescale to reach us anyway even if they moved at a fraction of speed of light, so the risk is close to nil. We are way, way more likely to be hit by an asteroid or to destroy our planet than to be destroyed by a very remote alien civilization.
If you pinpoint its origin to light years away, you know they already had a lot of time to progress past this technology. A good response if you plan on eliminating them would not be a fleet: you'd better setup and direct a huge gamma-ray burst in their general direction.
So the destructive response could come at the speed of light with a little delay at first.
Still this is not a movie where the aliens are on next moon so even if they picked up the signals it would long after the next few generations die off (Light years away - Man they are damn far off). (living in a developing country would give you a whole new perspective on energy scarcity)
In this case, if sending a signal into space takes a lot of energy and if energy is scarce, then it's a waste of energy regardless of if the government provides it or a private donor.
EDIT: I'm not saying this is true in this particular case (I'm also not saying that its not true), I'm merely stating that whether something is a waste doesn't matter on who is doing the wasting. I would gladly listen to a counter argument and maybe a discussion can be had, but I guess its easier to click a down arrow. Oh well. (Yes, yes, I know it'll happen even more due to my mentioning it)
[1] http://io9.gizmodo.com/5784658/so-you-want-to-send-a-message...
[2] http://www.cleanenergyauthority.com/solar-energy-resources/w...
I wasn't taking any sides on this issue, so its not really relevant how much energy it took. I said "if" it is and it was a hypothetical to give a concrete example, not a statement that I thought it was wasteful.
I'll paraphrase:
If <something> is hypothetically wasteful, then <something> is still wasteful regardless of who did it.
This is true for relatively low power omni-directional broadcast signals such as terrestrial TV and radio. The signals proposed by the METI community (and those that have already been sent - e.g. from Arecibo) are broadcast at much higher power using a concentrated beam, and would be detectable over interstellar distances using technology similar to that which we have now.