I don’t know about the Patriot system, but I remember watching a CCTV7 program in which the HQ6 system (all systems) was able to packup and move out in 10-20 minutes, forgot the exact timing.
There is always the possibility ROCA has some SAM systems stowed away in caves and structures and use them with the help of American AEW assets, hit-n-run style.
Patriot cannot hit and run, it needs an hour to set up. That was the point being made before (by myself and others).
It isn't really designed to counter aircraft anymore, all the work since the 80's has been geared towards protecting fixed sites from missile and rocket attacks (and used against drones, but this is highly cost inefficient).
TK-2 and 3 are basically Patriot clones, so they also have this shortcoming. All of Taiwan's investment into Patriot and TK-series was based on the 90's fear of PLA 2nd Artillery (as it was named at the time, now PLARF) saturating the island with IR/SRBMs as they were the main weapon PLA had at the time to hit Taiwan island reliably. PLA has now completely evolved their strike assets such as J-16D and J-15D in the near future, which do not even have a Russian equivalent, so it is a completely novel type to meet the PLA's specific needs that it identified on it's own.
Comparing to HQ-6 is not even in the same class or tactics. Of course HQ-6 can do this, it is designed to be mobile from the start. The closest thing in NATO/US inventory to such a SAM (that could perform hit and run) would be NASAMS/ESSM (NASAMS 2). This has active radar seeker. Taiwan is also testing their localized equivalent TC-2/HC-2 (aka TC-2N) which can be ground based as well and used in this way. However, this is not in full production yet.
NATO doesn't really have this Ground Based Air Defense as part of their doctrine. They have basically given up on this role since the 70's. Everything is counting on Air Supremacy. The Soviet philosophy of GBAD (which China is following) was based on the lack of forward basing and power projection ability like NATO, so they need the coverage. Of course China has the local power projection advantage, but they clearly desire to keep this capability in general.
With TC-2 SAM, they can try this tactic, but something like Starlink cannot provide them with the kind of data to discriminate targets. If PLAAF sends out a mixed flight of J-16 and drones as a screen, the SAM cannot discriminate between them easily without a main radar.