No big fan of Chrome myself, but I've yet to see a Flash Player download that DIDN'T have a box (or "radio button") to unselect Chrome and that annyoing Google Toolbar during the install process. It only takes a fraction of a second to uncheck. By comparison, much less time than it takes to log in here and post a complaint about it installing because someone didn't uncheck the option.
I will heartily agree that it's hard to get rid of, as well. The "uninstaller" leaves folders and registry keys behind that must be manually removed. Except that I need it for testing web pages, I wouldn't have Chrome installed. Sadly, that's not as kind as anything I can say about IE. I ONLY ever open it at all for testing webpages locally (before they ever go to a server). In six years on my Windows 7 machine, and just over two weeks on my Win 8 machine I can honestly say I've NEVER fully opened a single online webpage in IE 8, 9 or 10. I use Firefox as my default browser and have since 2003. Next is Safari, and then Opera. Chrome is for testing and IE is for extremely limited testing.
At least give us a choice during the upgrade process.
I usually install Flash Player updates manually as soon as they are announced. However, this time I waited until the automatic updater kicked in, just to see if the endless complaints about forced 3rd-party software were true. This is what the updater pop-up presented me with
Are you saying that you did not get these checkboxes when you got the update prompt?