one of my bikes had a slight bit of overlap, no real problem with it only an issue with tight turns at very low speeds.
after riding it for about 6 months I was 'riding too fast for conditions' buzzing down a relatively unfamiliar path in the dark at about 23mph, in a low spot maybe 60 feet from a corner, there's a post about 8" square and 18-20 inches tall placed about a foot and a half in on the pavement (right where normal keep right traffic rides) bushes all around the path in that area put it in shadow from the street lights so I never saw it till I was a foot away. Tried to stop but hit it perfectly square, frog jumped the handlebars just as I hit, landed on my feet and spun around to catch the bike as it flipped over.
Amazing thing is that the bike somehow bent perfectly square with just a tighter head tube angle and a slight almost un-noticeable bend on both top and down tubes, rides perfectly just turns quicker with a lot more toe overlap, with possibly 1/8 inch clearance between tire and down tube. untill I got home and realy checked it out I thought it had somehow escaped damage entirely, it's still a good daily rider.
Ken.