Custom minifiers are not applied in "static" mode

[DmitrySpace]

This line, written in config.php
$min_serveOptions['minifiers'][Minify::TYPE_JS] = 'someCustomMinifier';
has no effect when requesting files in Static mode

That is, the custom minifier for such a request does not work:
https://example.com/min/static/0/f=min/quick-test.js

But the minifier works for such a request:
https://example.com/min/f=min/quick-test.js

* Naturally, I cleaned the cache, deleted "static" files, it does not help.

Can you please tell me how to make a custom minifier work in Static mode?