There's a lot of stuff there you don't need as a beginner. The line beginning 'Error' is a bit scary, as is the 'Warning'. The advice to run 'stack init' is not good advice.
I understand your point about 'Error', but I still think most people are more likely to dismiss everything before `Prelude>` as line noise than to ignore stuff that is printed after they type `:t ($)`, especially if they've already used `:t` to check the types of other things.
Don't get me wrong, I'm generally all in for unlifted/unboxed types, data kinds, levity polymorphism, etc, it's just that I remember the time when the tipe signature of `>>=` looked scary and the `Foldable` and `Traversable` type classes seemed like black magic to me. I hesitate to suggest this, as someone who didn't write any Haskell for a couple of months now, but maybe the already mentioned suggestion of having a ($) that only works for lifted types and (#$) that is levity polymorphic would be a good choice?