input() prints to original stdout even if sys.stdout is wrapped

GitHub fields:

assignee = None
closed_at = None
created_at = <Date 2016-10-06.09:13:03.102>
labels = []
title = 'input() prints to original stdout even if sys.stdout is wrapped'
updated_at = <Date 2016-10-10.07:29:36.502>
user = 'https://github.com/wiggin15'

bugs.python.org fields:

activity = <Date 2016-10-10.07:29:36.502>
actor = 'Drekin'
assignee = 'none'
closed = False
closed_date = None
closer = None
components = []
creation = <Date 2016-10-06.09:13:03.102>
creator = 'wiggin15'
dependencies = []
files = []
hgrepos = []
issue_num = 28373
keywords = []
message_count = 5.0
messages = ['278179', '278181', '278183', '278394', '278406']
nosy_count = 3.0
nosy_names = ['wiggin15', 'martin.panter', 'Drekin']
pr_nums = []
priority = 'normal'
resolution = None
stage = None
status = 'open'
superseder = None
type = None
url = 'https://bugs.python.org/issue28373'
versions = ['Python 3.5']