The linked TRV's are used in rooms where due to wind, sun, or timings they are cold when the wall thermostat has turned off the boiler, so maybe two or three are required, to keep boiler running when for example the sequence set has turned off lower floors, but upper floors still used.
So the coldest bedroom with have a linked TRV, the other bedrooms can have a simple programmable TRV set to same times as the linked one.
However in theory if set up correctly you should never get what you describe. So it seems your system needs setting up.
We are told to use a differential thermometer and set the radiators so each one has around 15ºC between feed and return, but I don't have to hand a differential thermometer, so I tried turning off each radiator in turn on the lock shield valve, starting closest to boiler, and then turning on until feed pipe got just warm. Over time the radiator would clearly heat up more, but likely it would still need some tweaks.
My TRV heads showed target and current.

So if target was under current then closed the lock shield a tad, and if target for a hour or two over current opened it a tad, and slowly I got it so every room spot on. One leaving the house the electronic heads were replaced with standard heads, and still rooms spot on.
So if the TRV head shows the target and current it can be moved from radiator to radiator to fine tune them. However these eQ-3 heads

cost me £15 each, for bluetooth version, the non bluetooth was cheaper, got them 3 years ago, the Terrier i30 also a stand alone programmable TRV head, so likely two or three linked heads, and rest simply unlinked programmable heads.
However the Drayton Wiser head does have another trick up its sleeve, the algorithms are claimed to work out how fast a room heats, so it can leave reheating a room to last minute, so if using geofencing those rooms which heat up first ready for your return will need the Wiser heads.