The answer is most likely yes. A first order XO on a tweeter limits the low frequency signal sent to the tweeter, below the crossover point, at the rate of 6db per octave. Second order is 12 db rate, third is 18db rate, and forth is 24db rate of cutoff. If your crossover point is well within the operating range of your tweeter power is not a problem. So if you need to use the full operating range of your tweeter, as in a two-way speaker, a higher order might be better. From all I've read there are pros and cons to every type and order of crossover. I'm partial to third order, but don't ask me to explain why.
