Those times usually not that big of a deal anyway. Too cold you can dress up against, to warm could be a thing depending on where you are, if you're late then a bike is probably the fastest mode of transport through a busy city anyway, carrying things is definitely possible.

And these situations aren't common anyway, and I say that living somewhere where so many people bike everywhere all the time that finding parking can be an issue (though is still much easier than finding parking for a large steel box on wheels.)