A couple of points.
[1] We seem to be talking only about appliances tripping the RCD. It may appear that it is when an appliance is operating that the the RCD trips. That does not necessarily mean it is the appliance at fault. The load current of the perfectly good appliance together with an insulation fault elsewhere may be the reason the RCD trips. The "insulation fault" may be the capacitors between neutral and CPC in the mains filters of some other appliance.
[2] Original RCDs were mechanical and had no electronics. The output currrent from the senser toroid was directly proportional to the difference in Live and Neutral through the sensor. This current was used to energise a small electro-magnet that un-latched a delicate spring loaded precision mechanism that forced the contacts apart. Each unit had to be adjusted during manufacture to ensure tripping occured at the specified difference between Live and Neutral, this made them expensive to manufacture. Many modern ones use electronics to avoid having to have precision mechanical mechanisms and to enable one design to be used for diffferent types of RCD. Different trip currents and different delay before operation.
[3] Electronics require power to function. It does seem that some RCDs may not operate if there is no Neutral to the RCD even though there is leakage from Live to earth in the protected circuit. This may be the reason that RCBOs have an "operational earth" which is probably to ensure the electronics are powered when there is Live but no Neutral on the input.
[4] Somewhere I saw a schematic of an RCD with two sensor toroids. One feeding an electronic module and the second feeding direct to an electro-magnet trip. Possibly the second is a back up in case the electronic trip is unable to function.
Personally I would prefer to pay more for a non electronic RCD from a reputable source than risk a low cost item dependant on both Neutral and cheap electronics and wide tolerance mechanics.
[1] We seem to be talking only about appliances tripping the RCD. It may appear that it is when an appliance is operating that the the RCD trips. That does not necessarily mean it is the appliance at fault. The load current of the perfectly good appliance together with an insulation fault elsewhere may be the reason the RCD trips. The "insulation fault" may be the capacitors between neutral and CPC in the mains filters of some other appliance.
[2] Original RCDs were mechanical and had no electronics. The output currrent from the senser toroid was directly proportional to the difference in Live and Neutral through the sensor. This current was used to energise a small electro-magnet that un-latched a delicate spring loaded precision mechanism that forced the contacts apart. Each unit had to be adjusted during manufacture to ensure tripping occured at the specified difference between Live and Neutral, this made them expensive to manufacture. Many modern ones use electronics to avoid having to have precision mechanical mechanisms and to enable one design to be used for diffferent types of RCD. Different trip currents and different delay before operation.
[3] Electronics require power to function. It does seem that some RCDs may not operate if there is no Neutral to the RCD even though there is leakage from Live to earth in the protected circuit. This may be the reason that RCBOs have an "operational earth" which is probably to ensure the electronics are powered when there is Live but no Neutral on the input.
[4] Somewhere I saw a schematic of an RCD with two sensor toroids. One feeding an electronic module and the second feeding direct to an electro-magnet trip. Possibly the second is a back up in case the electronic trip is unable to function.
Personally I would prefer to pay more for a non electronic RCD from a reputable source than risk a low cost item dependant on both Neutral and cheap electronics and wide tolerance mechanics.