First off,

to TFF.
I believe the reason these fish died is not because of the filter, but the lack of fully cycled a tank.
Cycling a tank is very important, especially for the first time as it makes the tank safe for fish. On average it takes 4-6 weeks to properly cycle a tank.
Also, Neon Tetras NEED a well established tank to live in, one that has been up and running for at least 6 months. A tank that has been running for 6+ months is going to be very well established and is not prone to ammonia or nitrite fluctuations.
What kind of test kit do you have, and can you explain how you cycled your tank?
What are your current water stats? Ammonia, Nitrite, Nitrate and pH?
Since the tank was not fully cycled, I would say the Neon's died because of either high levels of Ammonia and/or Nitrite. Then their dead bodies floated toward and got stuck on the intake of your filter. These filters do not suck that hard, and it is VERY un likely to have a healthy fish get stuck on an intake to a filter. These filters are designed and made with that thought in mind.
So, the neon most likely died from the lack of a fully cycled/established tank.
Ammonia and nitrite do not have to be high to kill a fish. If either ammonia and/or nitrite reach levels of .25 ppm or higher (which is nothing) fish can be killed as ammonia causes permanent gill damage and nitrite cause permanent nerve damage.
-FHM