Copying my comment from YT:
For stable and safe operation of an XTAL oscillator, especially in a mass production and in a wider environmental temperature range, those standard 10, 20pF capacitors are undesirable, especially when built in a (digital type) oscillator circuit.
"Analogue oscillators" are preferable, but digital design engineers usually don't have that knowledge any more. It's too costly, as well, to mix analogue and digital on a chip.
We usually send our new oscillator circuits (inside an embedded controller) to our XTAL manufacturers, like NDK, Kyocera, murata, former Tele Quartz, now AXTAL, etc., requesting a specific center frequency and XTAL type / case.
They then determine their manufacturing parameters (cutting, trimming, blank type) and determine the optimum C1, C2 values, including layout pattern. That gives optimum start-up time and best "oscillation margin". C1, C2 should always be external.
Please search for documentation on "XTAL oscillation margin" for more details, as well, how one can measure these parameters on his own.
Attached are a few nice photos of a fused silica / quartz bar, 20cm x 2cm, artificially drawn in an autoclave.
The crystal blanks are cut out of such bars.
Frank
https://www.ndk.com/en/products/crystal/ultimate/