I feel like I've got this one pretty much covered myself. For a story that's short, I can use first person, or 3rd person limited, whichever I want. But for a longer story, 3rd person limited is better. More than once I've started a story in 1st person, then realized I wanted to add a complication and write a chapter with someone else's perspective, and then it's back to rewriting the beginning in third person. So mostly I just do 3rd person limited.
I'm not sure you're clear on the difference between 3rd and 3rd limited. In 3rd limited, the story is told entirely from the perspective of a single character, but is told by a 3rd person (that's how the 3rd person story is limited). In 3rd, you can switch from one character to another, all told by someone from a distance, who can relate any number of details about what's occurring. However, you shouldn't switch perspectives in a 3rd person limited story.
Another typical trip point is exactly the one you're promoting. Many stories confuse readers by NOT identifying who they're talking about right away. If readers assume one character is speaking, but then find out later it was someone else, they're often lost as they try to recollect the entire scene from the new perspective.
Instead, it's generally wise to declare who's perspective the segment is being told from immediately, either with a banner (ex: "*** Steve: Friday Afternoon ***" or by starting the section dealing with the perspective character). Forcing the reader, while an interesting experiment, is asking for trouble because you'll lose a LOT of readers!
Reader confusion is a problem in ANY story, no matter how it's told. If you're confused editing it, I can guarantee you'll have dozens of people confused who don't already know the story.