Perfectly Innocent:

I wonder if this is all nonsensical hoopla based on the antiquated
wave theory of light or if there is a real, measurable
faster-than-light particle view of quantum mechanical tunneling going
on.

Neither.

If I understand Richard P. Feynman correctly, photons are always
particles; the wave nature of light only reveals itself in terms of
probabilities.

Right.

All quantum mechanists know the rules of adding amplitudes but I
would like to know if something new about quantum mechanical tunneling
has been revealed.

Yeah. That it doesn't make sense to think of quantum mechanics in the
same way one thinks of classical mechanics.

Are individual photons in these experiments moving
at velocities faster than light?

That doesn't really make much sense quantum mechanically.

Answer:

The sheer mention of this result together with Einstein's theory of
special relativity and the principle of causality is a scam. Not a
single photon is moving faster than light.

Whatever.

The alleged generation of superluminal velocities without violating
causality is intentionally misleading physicists' hoopla and all the
media hype is pure distortion.

Don't read the media hype.

The fact that the dramatic 60 ns advance is only one fiftieth of
the width of the pulse is a clear indication of this.

The fact that you're looking at a pulse means you aren't looking
at photons. However, I don't really feel like explaining it in
detail, as I'm sure it won't matter.

If you were hoping to conceptualize how Einstein's special theory of
relativity might be false, then don't let these facts disappoint you.

The "facts" you've mentioned don't really say much about it
one way or the other.

It is possible to modify Einstein's special theory to allow for motion
faster than light.

Sure, if you give light a mass. Then, a photon is just like any other
massive particle.