Is this what we're referring to? To summarize (if I've understood this properly): Printing at 45 degrees ensures none of the print's three axes are aligned with the printer's least accurate axis of movement.
Similar, but I believe the strength addition is also because it changes the directions of the Z-axis layers.
Most filament is rather strong in tension. If you imagine printing a regular cube, without rotation, it’s going to be strongest stretching or compressing the sides of the cube.
But if you pulled the cube apart from its top and bottom, the only adhesive strength is the fused connection between layer heights. Which is super weak.
By printing at an angle, the layer heights may be in a direction that doesn’t receive tensile load, making it functionally stronger.
This model is almost entirely overhangs with small gaps between them, making support removal a pain. This way uses less filament and makes for better quality
This particular model would have lots of troublesome bridging if printed vertically, and would need supports along the entire length if printed horizontally.