People adhere to their browsers pretty well. I wouldn't change my browser at home just because I use it at work unless I wanted to synchronize my Mozilla/Google account across both computers (and this is often prohibited on enterprise licensed FF/Chrome).

Moreover, many companies make use of GSuite to handle email or collaboration tasks. If you already pay for such features, then it makes sense to follow through the platform and stick with Chrome.

To end, I will say that I use Firefox daily at home and work.