I own about 2 dozen circular saws, including the Makita hypoid you showed.
Everyone hates a worm drive when they first use it. The blade is on the "wrong" side, and they are heavy.
Having said that, it is my weapon of choice.
The blade on the left means I have a direct line of sight to the cut, instead of leaning over the saw (I am right handed).
The weight keeps the saw planted better, and improves the cutting accuracy. It is also useful when you learn how to use it (like cutting downhill, to let gravity help you).
Additionally, the handle on the back of the body increases my reach by 6-8". If you watch someone using a direct drive saw, they will look very awkward when cutting across a 4x8 sheet of plywood. I make the complete cut in one smooth pass with a worm drive.
They are more powerful, but honestly this shouldn't matter for the average homeowner. If you keep a good blade in it, direct drive saws are plenty powerful enough for most cuts. If you are timber framing, you need the power.
I carry both on my truck. They bevel in opposite directions, so they are useful for different types of cuts. I generally pickup the direct drive for a quick cut, but always the worm drive for a long day of cutting, or very accurate cuts.
The Makita has a very smooth and quiet motor. It's a joy to use (although most of my worm drives are Skil Mag Saws).
For a homeowner, there is no point to a worm drive saw. Most direct drives are quite competent these days.