Although they're quick, small and handy, logic probes are a lousy substitute for an oscilloscope. They have trouble with undefined logic levels, will often tell you that a point is LOW when it's really 0.5 volts (which is totally unacceptable) and may tell you if there's a pulse, but nothing about the pulse. I'm only mentioning all this to say that if a person were choosing to spend $100 or more on a high-end logic probe, he might instead consider putting that and a little more into a a used oscilloscope for not that much more.
And the simple fact that the voltage on the supply leads determine the logic level points that the probe will use to determine LOW, HIGH and undefined says that there's a heck of a lot of compromise going on there!
Dean