Some of unsloth studio’s code is Apache? Or some of lmstudio is?

From the README at https://github.com/unslothai/unsloth: "Unsloth uses a dual-licensing model of Apache 2.0 and AGPL-3.0. The core Unsloth package remains licensed under Apache 2.0, while certain optional components, such as the Unsloth Studio UI are licensed under AGPL-3.0."

Good to know. AGPL is fine at my workplace too, whereas the custom LMStudio license has been in review since mid January with no ETA in sight.

What do you mean by custom LMStudio license? Your employer requires reviews of proprietary EULAs or do you try to get a custom licensing deal from LMStudio?

Employer must review all EULA terms, yes. The license is a hand crafted proprietary license not a standard OS license.