Collecting wood in order to use it as combustible in a camp or within the context of a survival situation is easier than most people think.
Why hort or kill plants to get combustible material when you have it all around you? Asking survival course trainees I found out that most people generally assume that an ax, hatchet, jigsaw, knife or some sort of cutting tool will be required as part of any outdoorsman kit; however, no tool will really be required and you will save yourself some money and the inconvenience of carrying something bulky, heavy and sharp.
It is possible to get and carry large sections of wood without ever cutting a tree.
Cutting tools like those I mentioned are indeed good ad cuttting wood, but you will need them only if you have to cut large pieces that would be very difficult to cut by other means. However, those "other means" may be just perfect for the kind of combustible that you can find around any camp in most areas where there is some vegetation.
Believing that the jigsaw found on the back of some survival knifes will be useful for that is wrong: That design appeared as pilots shot down in the Vietnam war had to crawl their way outside the thin metal cockpits of their aircraft, mostly helicopters, and not to cut wood; of course, you can use those knifes in a similar way but you will soon find that almost any log that can be cut with that kind of jigsaw can also be broken or cut using other simpler, less extenuating ways.
Logs are cut, in gneeral, to provide construction materials.
If you plan on staying for a few months in a place like a forest cabin indeed, a cutting tool will be good for you, not just for preparing wood as combustible, but also to make things like furniture, other tools, fences, etc. However, in short-term camps, even in survival duress your hands will be more tha enough to fethc the kind of wood suitsble for a small fire.
And whenever you run across a larger wood log, you may try to break it apart using basic mechanical principles, jumping on it or by throwing stones. If you are well versed in survival techniques cutting tools,while useful, may not be indispensable.
Donīt argue with us about hatchets, knifes and axes!