Why specifically a Brooks for riding to and from work? The reason they are good is that they don't sweat or chafe on long rides. I don't see any real benefit on shorter rides. As long as the saddle is comfortable, you'll be fine.

I think with a commuting bike there is always the slight concern that someone will steal you bike or parts on it, as it stays locked up away from you for 8+ hours at a time, in the same predictable place. If you use the same bike for everything, or if you love a particular piece of gear, then sure you can ride the best and most expensive stuff to work or school or to the shops. But if it is just for getting from A to B, all you need is a safe, reliable, comfortable bike that will carry what you need it to.

That said, I ride a $1700 tourer with a brooks saddle and a bunch of accessories to my workplace in Dandenong