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Hi,
(I hope bad/ill-informed help is better than none...)
Yes, correct - however, for oscillator applications the crystal is often used as a high-quality inductance (as in the circuit under discussion, see first post).Crystal oscillators can be used both in series resonance (impedance between pin to pin is zero) and in parallel resonance (impedance between pin to pin is infinite).
So capacitor are used with crystal oscillators