It will definitely do the job. I leave tabs to hold the pieces together but you can also use blue tape and crazy glue or other methods. For me cutting tabs is not difficult. It was critical to upgrade to 3040 for me to be able to cut 200x300mm sheets of plywood which are pretty cheap per sheet (like $1.25-$1.50 per sheet). If someone has a business doing woodworking or similar I would recommend a higher-end CNC -- for $2000 or so you can get a much better unit with a bigger bed.
A laser cutter will also do the job and can be faster / reduce the need for clamps / hold-downs and larger tabs. However, diode lasers (the style you attach to the gantry directly) are pretty underpowered for cutting. A K40 laser will apparently cut thinply like butter (I am working to get mine setup now) but relies on a big laser tube so moves mirrors around on the gantry to redirect the laser beam. K40 lasers are not that expensive either (I have no experience with this one but came across it recently):
https://www.amazon.com/OMTech-Engraver-Desktop-Engraving-Detachable/dp/B099KK2HGH/ (although you will need to purchase water pump, air pump, vent tube, etc...).
The CNC is loud and makes lots of dust (I have not fit a dust shoe yet) but the laser needs to be vented to outside and can cause fires so needs to be monitored all the time (i.e., you need to be next to it and paying attention). If I am cutting a couple of sheets of 2mm with dozens of small fins it might take 30 or even 40 minutes for the CNC but I can just walk away and do something else. Simpler fin setups take 10-15 minutes or even less. The CNC can also do other materials -- like carbon fiber or fiberglass (although enclosure, mask, and ventilation may become necessary with other materials) and can be used to make airfoils or otherwise bevel thicker material. A laser can make cleaner cuts as well -- CNC leaves some fuzzies that are easily sanded away unless your bit is brand new.
For me cutting fins was pretty annoying and stressful (particularly since I moved over to plywood long before I got my CNC) and curved shapes were a nightmare. Having a CNC has really changed how I design rockets. I like the reproducibility -- I like to design something and be able to reproduce that design repeatedly (or modify and make again without starting from scratch).
Here are some pics of my CNC and the fins I make with it.
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