I had to take this detour when I was there last month. (but not in my coach)
It goes through the city a little bit and crosses Golden Gate Park. Added maybe 20-30 min to travel time due to some traffic lights. I should mention we drove it on a Saturday to eliminate commuter traffic.
PS- If you want to stop for some pics, go to the other side of bridge (North side). The parking lot is big enough for RV and less crowded with people.
Hope this helps
1994 Damon Ultrasport C class