How much this actually saves
Pretty-printed JSON is typically 15–30% whitespace, and deeply nested documents are worse because every level adds indentation to every line inside it. On a payload sent thousands of times a day that is real bandwidth.
It is worth putting next to compression, though. Gzip and Brotli handle repeated indentation extremely well — whitespace is the most compressible thing in the document — so over a compressed connection the saving from minifying is much smaller than the raw byte count suggests. Where minifying still clearly wins is anywhere the bytes are stored rather than transferred: a database column, a cache entry, a log line.