and router less than perfect.
A decent router will do all these jobs perfectly adequately for a beehive. The cheaper tools will, perhaps, not function as well as the better ones (eg Festool) but if you know the limits of your tools you can take appropriate precautions (one problem might be concentricity of the cutter with the base (if circular), another might be vibration when making any but the finest of cuts).
Certainly a saw is better for some things, and a sawcut can be close enough for a beehive, if that is all you have. After all, they used to do it all with hand-powered tools!
The biggest problem with small table saws is the small table. Make it big enough and (if you can still reach far enough) accurate cuts in large sheets is much, much easier. The worst thing about the cheap ones is likely the blade.
rae,
A super commercial video. Not many on here need the accuracy and that 'ease of operation' for a few bee hives!
I usually use a saw and a planer/thicknesser for most operations; the router is truly a much more versatile machine than what I use it for - and could replace both the above tools if I had need. The router table would be used more if I made lots of boxes from scratch, but the sales seconds items are more than adequate homes for the bees.