1 phase or 3 phase?
Let's assume 3 phase. A motor branch circuit must have 2 things; Short circuit protection and thermal overload protection. Because a motor starter already has the thermal overload protection (or at least should have), all a breaker needs to provide is the sort circuit protection and the table states the maximum size you can use.
The short circuit protection is provided by the magnetic trips, not the inverse time (thermal) trips. The reason the chart shows the the inverse time ratings is because that is how breakers are selected; the inverse time rating relates to a pre-fixed level of magnetic trips on non-adjustable breakers and the NEC has no idea what you are going to use. If your breaker has adjustable mag trips settings, that can often take care of it. This (along with the exceptions in that section) allows you to select a breaker that will not give you nuisance tripping. Below that you can do whatever you want. But the lower you go, the more likely you are to start getting trips when you don't want them, which can wear out your breaker let alone cause lost productivity (or whatever the breaker is feeding).
MCP (mag-only) breakers are used by starter manufacturers for the same reason; they don't need the redundant thermal trips and can use breakers with high ranges of mag-trip adjustability. But notice that the NEC only allows those to be used in FACTORY ASSEMBLED, TESTED, LISTED assemblies. They canot be used in the field other than as replacements.