The alternative squares do exactly that, and the effects become way more obvious with distortion. Ultimately, changing phases on the same frequencies you need to build a square changes the volume due to phase cancellation and introduces some micro-changes to the sound which is what impacts the way the sound interacts with processing (distortion, compression, all that).
Also, using less frequencies to build a square overall will produce a softer and nicer square sound. Modern software really pushes it when building a proper square by adding a ton of high frequency sines to make it “textbook square” (something that wasn’t done in older hardware due to limitations). That sharpness can be easily removed to get essentially a square that doesn’t cut into your ears. Something to keep in mind if you feel the need to lowpass your squares later in the chain.
The alternative squares do exactly that, and the effects become way more obvious with distortion. Ultimately, changing phases on the same frequencies you need to build a square changes the volume due to phase cancellation and introduces some micro-changes to the sound which is what impacts the way the sound interacts with processing (distortion, compression, all that).
Also, using less frequencies to build a square overall will produce a softer and nicer square sound. Modern software really pushes it when building a proper square by adding a ton of high frequency sines to make it “textbook square” (something that wasn’t done in older hardware due to limitations). That sharpness can be easily removed to get essentially a square that doesn’t cut into your ears. Something to keep in mind if you feel the need to lowpass your squares later in the chain.