The point I was trying to make earlier was the wrap angle around the sprockets changes with the position of the idler.
If there is no idler and both sprockets are the same size there is exactly 180 degrees of wrap on both sprockets. As the drive gear gets smaller there is more wrap on the driven gear and less on the drive gear, but the total is always 360 degrees of wrap. (It?s a circle with straight sections.)
If you look at the picture of the two chains on the left side, the idler is at the centerline of the tangent of the two sprockets (the dashed line). The idler is at the midpoint between the sprockets. The only difference is which side the chain wraps. Pushing out modifies the wrap angle for all of the sprockets but still equals 360 degrees.
Pushing in increases the wrap angle for all the sprockets and adds 39 degrees of wrap and friction.
The right two pictures show the idler pushed out/in the same distance. The out angle total stays the same 360 degrees; the in angle increases the total an extra 57 degrees.
It?s true about the oscillations of the chain. Every time the plug fires there is an explosion that sends a shock wave through the power train that shows up at the chain as a series of pulses. The pulses cause the chain to have waves of oscillation running through it. The frequency and amplitude vary with speed, sprocket size, distance between sprockets, etc. High speed video shows the chain looking more like a snake than a straight line. The same holds for belt drives also.
Machinery Handbook under roller chain drive service factors recommends derating the chain 60 percent for internal combustion engines with high shock loads.
If the chain is turning blue it's running out of lubrication and is a huge source of friction loss. Spraying water will cool the chain, but potentially wash the lubrication off. I wouldn't do it. If the chain is getting lubricated it won't heat up.
Your idler bearing will take large radial loads but no thrust loads. The chains whipping will generate side loads that could cause bearing failure. Having two bearings spreads the load out laterally and is better at resisting thrust loads.