Failures on motherboards with higher phase counts have been relatively infrequent if at all. Most of the culprits for VRM failures are the lower end 4+1 phase and 3+1 phase motherboards that aren't equipped to handle processors that consume lots of power and may be overclocked. Smaller 4+1 phase systems or less on CPUs can be particularly risky due to the fact that each transistor must be capable of outputting more current and heat. This is why you normally see motherboards with low phase count failing (i.e. catching fire, frying, overloading), often on motherboards from only certain manufacturers or certain particular motherboards.
However, the motherboard brand/maker and their quality control can also define the quality of a VRM system. For example, the majority of 2010-released MSI AMD motherboards with 4+1 phase or similar, heatsinked or not, did not have good quality and were prone to failure. This was due to the utilisation of transistors that may not be properly rated, driver chips not properly rated, and lack of VRM over-current protection. However, the Biostar TA890FXE, which comes with a similar-sized 4+2 power phase, was not failure-prone. It featured high amperage rating per transistor; completely rock-solid.
An 8+2 phase system may not necessarily provide any more current than a 4+1 phase if the amount of amperge capacity throghout the VRM system is the same; however, the 8+2 phase system would still do so with more efficiency, stability, and with less heat output. The situation of power phase count can be summarized in the following two sentences (in case the above was too long and complicated for you) by OCN PSU editor Phaedrus2129:
Phaedrus2129 said:
However, as a practical consideration, many VRMs with more phases can supply more power. I mean, assuming you want to output 64A, it's usually cheaper to use sixteen 8A transistors than four 32A transistors. So more phases makes it cheaper to make the VRM more powerful (usually). So a VRM with fewer phases will often (but NOT ALWAYS) be less powerful, since making it more powerful is more expensive.