Do by chance have a source for any of this? Thank you!
About the mother-of-pearl buttons.... if a garment uses mother-of-pearl buttons, Net-a-Porter/Mr Porter would disclose their origin in the details section. Like this Cucinelli dress's mother of pearl button coming from Indonesia:
I've seen some Gucci shirts on Net-a-Porter having MOP buttons from Vietnam or Australia. They do it less often these days though.
Kering's EP&L discloses the countries that are impacted by their supply chain and have a MOP section:
Group impact in 2021 — Kering
Cashmere stuff: https://www.sjfzxm.com/global/en/538271.html, http://subsites.chinadaily.com.cn/en/2020-09/21/c_537717.htm
India embroidery industry, NYT expose, there are more sources that disclosed either the garment has been transported for finishing, or components are embroidered and brought to France/Italy for assembly:

Luxury’s Hidden Indian Supply Chain (Published 2020)
For many years Dior, Saint Laurent and other fashion brands have been quietly using Indian embroiderers for their goods, depending on their expertise while offering little in the way of employment protection.

India’s Fashion Artisans Face ‘Extreme Distress’ in Pandemic (Published 2021)
The working conditions of the so-called karigars, who make handicrafts for luxury brands, have long been an issue. Now many have no job at all.