Bottom line, Liquid Metal is NOT designed to be used in the Framework Laptop 13 series, and should damage be caused by the modification to attempt to utilize Liquid Metal instead of the expected thermal paste, or by the Liquid Metal damaging nearby components, this would be considered CID and would not be covered under our Limited Warranty (please use regional-specific link if outside the US).
We have explained exactly why we use Liquid Metal for the Framework Laptop 16 in this blog post, crafted by our CEO and Founder. Usage and implementation of Liquid Metal is very specific, and improper application can lead to leakage which can cause damage.
To be clear, if you use Liquid Metal, and have it applied correctly/professionally, experience no issues or leakage, and have a non-related issue requiring warranty support, that warranty is still valid. If you attempt this, and cause issues due to the application of Liquid Metal, those issues and/or damage will be considered CID (Customer Induced Damage) and will not be covered under our Limited Warranty.