Pulling random facts out of my hat, I'd guess you're running into issues with parasitic capacitance in the breadboard.
As a rule of thumb, the noise in a breadboard becomes noticable around 100kHz and gets ten times worse for every 100kHz beyond that. By the time you get into the megahertz range, you're trying to do jigsaw puzzles in a paint shaker.
That's especially true for digital signals, which have lots of abrupt changes. I recently breadboarded a test circuit using 100Hz square waves, and when I hooked it up to the 'scope the results were awful. The VCC and GND rails were bouncing around like Jello on a trampoline, to say nothing of the signals in the actual circuit. By the time I got the rails under control, about 40% of the components in the board were debounce caps.
So.. odds are good that your reset pin is seeing spikes from the clock or the programming signals.
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