data point: Denied CC visa in January for too many recent inquiries.
Froze ARS in late May and applied for CC and US airways cards on 2 JUN. Pending 7-10 days decision on the US Bank CC visa and immediate approval on the Barclay's US Airways MC.
TU inquiry from Barclays (US Airways) popped up the day after my app, but as of now - 10 days later - no inquiry from US Bank on the CC visa has shown up on my reports.