That lip makes it easier to pour contents from the tube. However, there is the disadvantage that the lips tend to chip and collect dust. Culture tubes have no lip. Plastic caps are availabe which telescope over the mouth of culture tubes protecting them from dust. Plastic caps can't be used with test tubes.
Microbiologists can use test tubes, but most prefer culture tubes.
Culture tubes are often cheaper. Screw cap tubes are more expensive, but the caps can be screwed on tightly to prevent drying and and to reduce contamination. Rubber lined caps have higher quality threads and when screwed on tightly form a tighter seal. In the old days, bacteriologists rolled tight cotton plugs and pushed them into the mouth of test tubes to keep contamination out. The snug cotton plugs kept out dust which carries molds and other contamination.