Some of the examples are rather badly chosen. Specifically the one about Warsaw. Yes, a lot of people might have used public transport while the bridge was unavailable, but the congestion was insane - at one point it took hours to travel what used to be maybe 10 minute trip. You see, the bridge was a major artery linking two sides of the city with no other good links nearby (best option was by rail, but it required considerable detours - effectively I never used it when going
to work, only when coming back). Especially since the loss of a bridge meant closure of exclusive bus lanes, as even if they continued the jams involved in reaching the other bridges would prevent any speedup.
There were essentially no other ways to travel, as in N+M notation (N = river crossing capacity, M = spare capacity) Warsaw has been long time operating at below required capacity. Closest example of adding more crossings not reducing congestion involves a bridge which couldn't take up increased traffic because the roads to it were congested...