I was able to solve the issue using Odoo Studio. Here’s how I did it:

I went to edit the List View on a quotation and enabled the option to "Show Invisible Elements." This allowed me to activate a hidden field called "Virtual Availability at Date."

Now, while I’m loading a quotation, I can see the availability, even when the product is composed of a Bill of Materials (BoM) of type KIT. Although the availability status (green/red indicator) doesn’t appear until the order is confirmed, I can still check the stock levels before that. Once the order is confirmed, the availability status graphic appears as expected.