Can't create poly-kinded GADT with TypeInType enabled, but can without

Surprisingly, this compiles without TypeInType:

{-# LANGUAGE DataKinds #-}
{-# LANGUAGE GADTs #-}
{-# LANGUAGE KindSignatures #-}
{-# LANGUAGE PolyKinds #-}
module Works where

import Data.Kind

data T :: k -> Type where
  MkT :: T Int

But once you add TypeInType:

{-# LANGUAGE DataKinds #-}
{-# LANGUAGE GADTs #-}
{-# LANGUAGE KindSignatures #-}
{-# LANGUAGE PolyKinds #-}
{-# LANGUAGE TypeInType #-}
module Bug where

import Data.Kind

data T :: k -> Type where
  MkT :: T Int

then it stops working!

GHCi, version 8.3.20170516: http://www.haskell.org/ghc/  :? for help
Loaded GHCi configuration from /home/rgscott/.ghci
[1 of 1] Compiling Bug              ( Bug.hs, interpreted )

Bug.hs:11:12: error:
    • Expected kind ‘k’, but ‘Int’ has kind ‘*’
    • In the first argument of ‘T’, namely ‘Int’
      In the type ‘T Int’
      In the definition of data constructor ‘MkT’
   |
11 |   MkT :: T Int
   |            ^^^

This bug is present in GHC 8.0.1, 8.0.2, 8.2.1, and HEAD.

What's strange about this bug is that is requires that you write T with an explicit kind signature. If you write T like this:

data T (a :: k) where
  MkT :: T Int

Then it will work with TypeInType enabled.

Trac metadata

Trac field	Value
Version	8.0.1
Type	Bug
TypeOfFailure	OtherFailure
Priority	normal
Resolution	Unresolved
Component	Compiler (Type checker)
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