Mine raises idle on cold starts, actually all of my cars do. Here is info for you.
Speed6
Cold->when started idles at 2K then slowly drops to 1.5K then to 800rpm.
Hot restart->Brief few seconds of about 1300rpm then drops to 800rpm.
Turbo'd Miata Standalone ECU
Cold->Idles at 1.8K then slowly drops to 1.2K then drops to 850rpm.
Hot restart->Ildes at 1.1K then drops to 850rpm.
Nissan Altima
Cold->Idles at 1.6K then slowly drops to 750rpm.
Hot restart->Few seconds of 1K then drops to 750rpm.
I live outside of portland, OR.