Tsirkon does include a rocket boost stage to launch off ships and get the missile section to speed. This doesn't actually prove that the Tsirkon is only rocket powered.
It's most likely the "dual purpose/ hybrid ramjet" propulsion used on the Boeing Hyfly and DF-100. But Russia claims mach 7 (+/- 2 mach) for Tsirkon whether that's terminal, cruise, average, top speed or whatever. This aligns with Boeing's claim of this type of engine capable of running to mach 6. DF-100 however is said to be somewhere between mach 3 and 5, again with no spec on whether this is average, top, cruise or terminal speed. It matters. But again, it's my contention these three are very similar missiles. Something US never even completed, something China considered to be second rate even in the 2010s and stopped production around 2020. That's even if it is this relatively fancy air breather.
The true HCM is CJ-1000 and YJ-19. Unknown propulsion types but think scramjet/ sodramjet if you believe in the traditional Chinese declassification method of only revealing outdated stuff or rotating detonation if you think those have matured enough even in the late 2010s for CJ-1000 and YJ-19 declassification to be allowed in 2025.
