home is equally vulnerable to lightening, if you are afraid of such incidence. Any other equipment, which could even be costlier than inverter, also can get damaged if you think so.
Not really, not required. Not practical and brother desired. There are far more costly electronic gadgets in home to only bother about inverter. And moreover your inverter isn't placed on roof top too to attract direct lightening strikes, so relax, it won't ever happen.
electrical wiring on the rooftops in the house. These are the ideal carriers of the surge voltages to down the house through the wiring and can damage anything or any electrical or electronic appliance coming in their way. In the houses, equipped with electrical earth conductors on the rooftop connected to the ground generally this surge voltage will pass on to the Earth without doing any damage to the other things. Many times these electrical conductors are not properly grounded and do not work for the intended purposes.
These surge voltages are of high magnitude but their duration is small and that is the reason that many times they do not damage much as they subdue very quickly.
Passing of surge voltages through electrical wiring is conducive to generation of fire and any equipment attached to these lines will only add fuel to this fire. Though electric fires in household electrical lines during thundering and lightening are rare but we have to take precautions however rare they might be.