Google’s trademark lawyers are obviously getting nervous: they want people to only use (variations of) the word ‘Google’ in relation to Google Inc or the services it provides.
I think this is probably a loosing battle – people ‘xerox’ things all the time using copiers not made by Xerox. That being said, for the time being the vast majority of googling is most definitely going to happen using the Google search engine. In the keyword search traffic to this site, Google’s market share is about 90%. Yahoo and MSN are roughly at 4% and 3% respectively, leaving the remainder for a couple of lesser known search engines.