There was an engineering firm that configured some of the strangest patterns to squeeze stations into the Great Lakes area, particularly 4 stations on 1520, 2 of them literally 30 miles apart. I worked at 1350 with 4 towers, highly directional to the east and north, nulling another 1350 and 2 1340s. Then there was a 6 tower directional in Muncie, Indiana tightly spacing 2 980s. The beat goes on.AM is not like FM. FM has a table of assignments where applicants can file for a station. AM has been, historically, an "if it fits you can file for it" situation. That is why there are so many stations that are just bad: daytimers, highly directional stations, low power ones, etc.
In the biggest 100 US markets, there are less than 180 stations in total that cover at least 80% of the radio metro area day and night. That means that for every reasonably good signal, there are about 6 or 7 that don't cover their own market well.
In the case of KTXW, the applicant was mostly interested in the daytime operation, as the 155 watt night power is pretty useless. The day power puts a usable signal over about 2/3 of the market, and they have a translator to fill-in the more populated areas with 85 watts at over 1000 feet HAAT.
Remember, KMOX is not protected in Austin. Its protected contour ends at some distance from the city, so an Austin area station can operate on 1120 at night as long as it does not send nearly any power towards the KMOX protected night contour.