Forgo Tradition?

Most sources say to enclose the name of a brother or a sister if he and she are your only siblings. The same sources say to refrain from using the commas if you have more than one of each. For simplicity of execution, can we simply do this and forgo traditional grammatical standards?

Of course, I have only one wife whose name is Jennifer. I also have one daughter named Schuyler and one brother named Joseph. Incidentally, I also have only one cat named Dusty. May I refrain from inserting all the awkward punctuation -- commas and semicolons -- and do the following?

1. This: My wife Jennifer, my daughter Schuyler, my brother Joseph, and my cat Dusty all have colds.

2. Instead of this: My wife, Jennifer; my daughter, Schuyler; my brother, Joseph; and my cat, Dusty, all have colds.

Everybody cool with my first sentence?