That's a very interesting point. I'm pretty confident that it's neither creating nor solving the problem of oscillation in this case, because I can also see the LED flicker when it's oscillating, and that behavior is the same with or without test gear connected.I would like to volunteer that the act of measuring can cause or quench the oscillation. I have seen both of these in real life, and it was always related to the high gain of the op-amp. A few picofarads from the scope probe can quench oscillation by decreasing the bandwidth of the frequency response at the non-inverting input. I can't remember the schematic, but I had one that would burst into oscillation when measured with a scope probe because it was mis-wired. So, caution be to the trouble shooter. You can't know everything about the circuit until you understand it, and then prove the physical reality matches the schematic.
I suspect that the oscillation is simply because there is NO hysteresis near this new, bogus trip point of 1.7VDC. The VREF is way below that, so when it pulls up or down with output changes, it's still nowhere near this bizarre, high trip point.
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