You are combining three separate quotes that are unrelated except that the latter two were from the same source.
The first quote was from Gunston, World’s Rockets And Missiles, page 204-205.
The second set of quotes (not related to each other) are from Friedman, World Naval Weapon Systems, page 253.
We know they can’t be related because the overall deltaV of the missile is less than 4 mach even stretching our imaginations to account for AAT and increase thrust for high alt scenarios. Even then, accounting for some level of lofting… the in-game deltaV of 1224 m/s is only above 4 mach when you consider the reduction in airspeed for mach at altitudes … at 9km.
Essentially, what you are implying is that the missile suddenly gained 15% overall deltaV and was able to convert 100% of that into airspeed (this would imply 0 drag)…
Of course, then you must consider that the maximum range of the Harpoon is less than 80 nautical miles and has a top speed of mach 0.71… indicating that in 90 seconds it would travel a total of ~22km maximum from point of origin before the missile impacted… and according to the first source it wouldn’t have reached because the missile would still be 126km from the boat the Sea-Phoenix is mounted on.
None of this math adds up, quite clearly the sources are saying that the AIM-54 can achieve mach 4 and hit targets out to at least 80nm (in high alt, high launch speed scenarios)… while simultaneously maintaining the ability to hit sea-level skimming targets such as cruise missiles.
For the aforementioned reasons, we can assume that the Harpoon is unrelated to the 22km ground distance covered from surface launch. The sources are separate, the conditions are not related.
The only data we have is;
from ship-launch (0 starting speed)… travels 22km in 90 seconds with unknown target or lofting conditions. This is sufficient information to launch it with various loft or no loft configs and compare the resultant data. It does not need to hit the target, only meet the 22km distance covered in 90 seconds criteria.
Assuming a incoming target was traveling at 0.9 mach (309 m/s) for 90 seconds before the missile impacted at 22km distance from the boat, it would need to be approximately 50km at launch.
So, the test scenario is simple. 0.9 mach target at 50km distance from moment of launch. Target heading directly towards the launching vessel. If the AIM-54 is configured properly the missile should impact the target at 90s and a distance of 22km from the launch point.