I haven't any idea what "toeshoes" are. I have shoes with laces, showes with straps and locks and shoes with cables. They all fit properly and are comfortable enough but the shoes with laces are by far the most comfortable after several hours of really rough riding. All the other one's spread the forces over fewer connection points and press here and there. For reasonably short rides (40 of fewer miles) or less than 3 hard hours off-road it doesn't make much difference. But on long rides it sure does. But the most comfortable shoes I have are straps and lock Sidi's which were given to me. These are comfortable because the leather is such high quality it totally conforms to your foot perfectly. You don't even notice the closure method. But it isn't like I would spend $400 on a pair of shoes myself.
People give them **** all the time, but if you're ever walking up a hill with some leaves on the ground with a pair of toeshoes and a pair of tennis shoes or boots, I guarantee you that your feet will prefer the toe shoes. Vibram fivefingers made them popular but there's a ton of brands that make them, I thought they were silly at first but once I used a few different brands, it's harder to go back to regular shoes than it was to switch over, 100%
Edit: Those are also more of a minimal model, there are some with much more grip. The toes are more flexible than you might think, it is basically just a glove for your foot with a bit more firmness towards the heel and arch. You really have to see a few different pairs in person to get a feel for them, most people just stick to shoes.