Historically true, put unless the industry changes dramatically in the near future 121 PIC alone will not get you a major airline job. You will need an inside connection...

Unless you already know who that person is, you probably want to approach a regional on the assumption that you might be there for a very long time. You can take a chance on a crappy regional for the fast upgrade, but you might wake up as an 8 year regional captain, realize you are going nowhere, and that your employer sucks...your dream is now a living nightmare.