You're joking right? A 1911 is one of the most accurate pistols ever made. Go to any firearms competition and your shooters will have them. They do require maintenance, but it's not unreasonable, it's on par with keeping a rifle or shotgun clean.
You're absolutely right about more complexity in the design though. Modern "hole punchers" like M&Ps and Glocks are far simpler and exceed a 1911 in reliability. But a 1911 will wipe the floor with either of those pistols in an accuracy contest.