https://help.blockstream.com/hc/en-us/articles/19593319095193-Upgrade-Jade-firmware

Really unfortunate they don't make it easier for the average user to get local copy of the firmware - Can be done via the CLI method, which is mainly cloning the repo.

They say:

"Note: When using the command line method, technical users will have the option to save a local copy of the firmware version, which they can verify against the source code and upgrade using the file they have reviewed for authenticity."

My reasoning for suggesting it:

My thinking is, something could happen down the line in development that makes your wallet incompatible with your seed for whatever reason, so you'd want to rely the least possible amount on the software being publicly available and functioning as it is right now in the future. So you'd want to basically take a "snapshot" of what you have which is working right now.