Delvo
Дэлво Δε&#
Yes, it's sort of like burning fossil fuels because they release what was originally solar power at a much faster rate than it was produced, and in a smaller amount of space than the plant that originally produced it. It does mean you don't get to use most of the energy that was originally absorbed by the plant and didn't make it into the form of fuel, but that's accepted. That's why everything else except warp coils used fusion instead.Antimatter powers ships. There's nothing to say it powers planets...
In the backstage materials, antimatter is creatted in a "charge reversal device". Put matter in, add lots of energy, matter turns into antimatter. If so, then antimatter is not a fuel source so much as it is the ultimate battery. Powering anything with it results in a net loss, because you have to use something other than antimatter to power the CRD and the energy used to make it is, surely, greater than the energy you can get from your antimatter.
The same sources that say this stuff also say that the Enterprise (D) carried an antimatter converter for emergency use, so I think it makes sense to presume the Voyager would have one as well. (It's a smaller, less powerful ship, but later and more advanced.)