Unbranded laptops are something I'd also prefer, even though the corporate environment you're describing is very employee-hostile when it comes to technology choice. (Sorry about your situation.)
I know that Schenker sells some of their laptops with their logo on the laptop lid by default and offers a choice to remove the logo for an additional charge. Example (VIA 15 Pro): https://bestware.com/en/schenker-via-15-pro-m22.html
This option is possible because the laptop is a branded version of an ODM laptop (Tongfang PF5NU1G).
Schenker is a German company. Like with all branded versions of ODM laptops (such as models from Tongfang and Clevo), customer support for Schenker laptops is handled by Schenker and not the ODM.