Not true, of course. The opamp output is a low impedance voltage source designed to provide a signal output to some other circuit or use. Connecting between the opamp output pin and the circuit ground is the best way to observe the oscillator output signal. Another way is to connect a high impedance scope probe across the L-C tank, but this will change the oscillator circuit frequency. If the impedance of the equipment being connected is too low, such as 50 ohms, it can cause the oscillator to stop. However, oscilloscopes or frequency counters usually have a high impedance option.
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