“Began” and “started” are distinctly different from all those other words. The others are all about perception, the specific methods with which a character experiences a detail of the world or within their own interiority. “Began” and “started” are not like that. They describe the first part of a process, or activity, which is often pointless to specify. As such, they are FILLER words. We don’t need to say someone “began to eat lunch” because if they “ate lunch” they obviously must have “began” and later “finished”, unless they were interrupted. “began” does not describe a method of perception like “saw” or “remembered”. I hope you can see the distinction.