Door to door, my car trip takes about 20-30 minutes, my bike trip takes 15-20. Not having to deal with parking, stop signs, traffic, etc genuinely does speed things up.
Riding a bicycle is more fun though. Something about it triggers daydreaming and I often arrive at work and realize I got there on autopilot. I haven't done it much since the start of COVID, but I recently tuned up my bike, ordered a good floor pump, and plan to resume soon.
I don't do it every day though. I only go into the office 3 days a week and for much of the summer it's too hot for me to bike (I'm in Austin, TX). I can manage up until about 101F/38C, but anything after that feels dangerous.
Traffic sure, but you still need a good place to park your bike so it does not get stolen and you should be stopping at stop signs.
I walk basically everywhere and I have to be more vigilant of bicyclists on crosswalks because they always blow through them at full speed regardless of who has the right of way.
So no, I definitely shouldn't be stopping at stop signs, but I should be following the rules of the road. Eye contact with peds, sometimes you can quickly negotiate "no, you go ahead". If not, stops for pedestrians.
My work has bike cages, which are right at the entrance and require a badge to access. If not, my bike parks vertically on its own and I could just bring it inside.