Don't know where you live but "a few hundred Watts" would only power my computers.
I keep a couple of deep cycle 12V batteries fully charged in the garage. We typically use them as power sources for chargin LiPo's for electric model aircraft at the field or to power the glider launch winch. A nice side effect is that the are available for emergency power if ever needed. I still have a 4 kW propane generator because the 12V batteries are simply not enough. I say this from experience not conjecture.
But let's say you need 2kW. (That's not quite double what a normal car can put out, from my quick research. Typical car systems seem to top out around 1200W, give or take.) The Tesla would be able to provide that no problem, of course, but! It'll only do so for about 22 hours before you run the battery all the way down, at which point you have no electricity and no transportation and no way to remedy either until the power comes back on. If you really do need 4kW then your Tesla will last you half a day, which is just about useless. If your needs are low enough that the Tesla battery could last for a couple of days, then you can run off a regular car too.
:)
Heck, even a camping trip could change radically if surplus electrical power is available from your electric vehicle. I don't know about you, but I'd rather cook my food with electric power at the campsite than burn wood or charcoal. Over the last year or so I've convinced myself there's very little you can do with a BBQ that you can't do with a skillet and an oven. I am actually considering getting rid of my outdoor BBQ.