Instant file initialisation requires that the SQL Server service account has the 'perform volume maintenance task' permission. The account used to connect to SQL to do the restore is irrelevant.
Gail Shaw
Microsoft Certified Master: SQL Server, MVP, M.Sc (Comp Sci)
SQL In The Wild: Discussions on DB performance with occasional diversions into recoverability
We walk in the dark places no others will enter
We stand on the bridge and no one may pass