There is not "a problem" to solve. All that is being done when adding any good switch into a system is reducing incoming noise to your system. NOT NOISE THAT IS AUDIBLE. When you add a good LPS to a switch it usually will allow the switch to operate more optimally and further reduce noise into the system.I assume one should solve the problem. if one not capable of solving noise , why second one will. there is only one correct answer. What is the correct answer?
When you add another switch, then in some systems for some people, they can hear a further reduction of noise.
How do you hear the reduction of noise? You hear it by a more open soundstage. Better, more textured bass. You hear more micro and macro details and dynamics. You hear more of everything when the noise in a system is reduced.
When the noise is removed from a system the sonics continually get better. By adding one switch to a system you do reduce noise but maybe 10% or 25% or ????% of the noise that is possible to remove by means that has not even yet been discovered.
Noise reduction has been going on in audio systems or years now and it continues to evolve. Check out the Taiko Extreme thread as everyone looks forward to the new Taiko Switch, which when available for several reasons, discussed in the thread will even further reduce noise.
When the Taiko switch becomes available then many will experiment by using the M12 or other switches with the Taiko switch to see if additional switches make a difference or if the Taiko switch by itself will make other switches and LPS's not necessary.
Most of the people that experiment with switches realize that the only way to understand in one's system if one or additional switches make a sonic difference is to listen to one switch, then add another and listen to what you hear. If there is no difference in a first switch or by adding a second switch then they will not add. If they hear a positive sonic difference then depending on the cost vs performance variable comes into play. Is it worth the $$$ to add one or two switches to their system?
It is a personal decision for each user to decide what works for them. There are no absolutes with network noise reduction other than experience has shown that switches do reduce noise in a network.