Is inductor power dissipation important?

I am designing a crossover for a midtop speaker with a 12 inch woofer that can handle 250 watts rms. When I check the power dissipation graph in xsim one of the inductors shows that it will dissipate up to 8 watts. Is this relevant at all? I'm pretty sure this is something to look out for with resistors but I'm not sure if this is important for inductors but it surprised me how much more power that inductor dissipated than the other components.
 

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I assume that this is the series pass inductor for the woofer? Looks like your inductor DCR is around 0.25 ohms. Just make sure to include the DCR of the inductor and cables you will be using in your box-modeling sims. As far as 8W of heat dissipation in what is, probably, a fairly large inductor, I would not lose any sleep over it.

Dan