Correct Lee, probably if you set your scope to ~1usec per division and trigger on that signal you should be able to see the high frequency sine wave riding on the low frequency sine wave.
BTW, the LF351 has an odd phase characteristic where the OPA134 has a classic op amp phase characteristic. For example, at 1MHz, the LF351 has approximately 75 degrees of phase LEAD versus the OPA134 which has approximately 110 degrees of phase LAG. This is a very large difference and goes a long way to explaining the unstable behavior. I will have to look at the schematic for the PL300.
To answer your other question, the op amp is still in during that quieter crossover region but the final driver drops out and you are driving the load through the base emitter resistor of the final driver during that short period using the predrivers.