"Google" is a meaningless pair of semi-pronouncable nonsense syllables, inspired by the made up big number "googol" (which was named by a 9-year-old child whose uncle wrote a pop math book). It has no problem standing for self-driving taxis or whatever else.
If you want your own similar company name, visit an elementary school and ask the 3rd grade students for advice. You can make "bleeblax" or "squibjub" or "tibflee" or "shubzoo" into the next unicorn company.
The weak connection is that the googolplex represents a huge amount of data, like Google’s searched index. Your other syllables don’t have that connection. It doesn’t matter how a huge number got its accepted name.
The googol connection actually would still work for Waymo since AI driving also requires huge quantities of data.
If you want your own similar company name, visit an elementary school and ask the 3rd grade students for advice. You can make "bleeblax" or "squibjub" or "tibflee" or "shubzoo" into the next unicorn company.