It’s a wonderful comparison going back at least thirty years: https://www.gocomics.com/doonesbury/1994/07/15

Inferring doesn’t mean the same thing as implying. They’re kind of complementary, like borrowing versus lending.

The OP may have been implying something, but it looks like you’re inferring something (which may or may not what they’re implying; I don’t care enough to parse that out).