Back to basics. “Is it true that just because a speaker has a high wattage, say 200 watts, that it will be louder than a lower wattage speaker.”
In a word, no. There are several points of confusion here. First, speakers do not “have” wattage. A watt is a unit power and, unless your speakers have power amps built in, they don’t have any. Non powered speakers may have wattage ratings, but this is only to indicate their ability to handle power. If your speaker is rated at 200 watts that means it can handle 200 watts of power. Depending upon how the manufacturer arrived at this rating it may be able to handle a lot more than this. A 200 watt speaker with 200 watts being delivered to it may be the same volume as a 1000 watt speaker with 200 watts delivered to it. Then again, it may not.
A speaker’s ability to handle power is one factor that will determine how loud it can be. Efficiency, sensitivity, and dispersion characteristics will all contribute to its apparent loudness. Further, a speaker producing only a narrow range of frequencies may be able to get much louder than when trying to reproduce a full range of frequencies. It is definitely not safe to say a 500-watt speaker will go louder than a 200-watt speaker (though it is often the case). Besides, you also have to keep in mind that each time you double the power you only get 3dB more volume (all other things being equal), which in the grand scheme of things isn’t all that much. When choosing speakers one has to look at all of these issues at once. For example, all other things being equal a speaker with a sensitivity of 98 dB (usually rated as dBSPL with 1 watt applied measured at a 1 meter distance) that is handling 500 watts will actually be the same volume as a speaker rated at 95 dB sensitivity handling 1000 watts. This is a perfect way to illustrate how dangerous specs can be in the hands of someone who doesn’t truly understand them. As I’ve said many times before up here, call your Sweetwater Sales Engineer to get solid advice and help in configuring speaker systems.