The reason better toolboxes have felt inside the drawers is you put a drop of oil on the felt, and it will keep the tools rust-free.
Felt is bad, it wicks away oil from the tool's surface and often absorbs moisture from the air. Tools placed on clean felt will often rust where they touch the felt.
You need to mitigate its wicking and hygroscopic properties by applying lots of oil to it. Use rubber mats instead.
The oil migrates around as the tools are taken out and put back in.