The nuances of Verb + + can be fairly subtle, but they are important as the native speakers do use this phrase on a daily basis.
In this context, the nuance is that the speaker and listener think that it is **_against their (original) will/plan_** to take a cab, but they would probably have to do so for their convenience on that particular day because the sidewalks are extremely crowded.
If, instead, were used, it would sound as if taking a cab was as natural (and usual) a choice as walking for the speaker. It would tend to be used by people who often use a cab as a method of transportation even for short distances.