Apply for it
I had a heck of a problem because I did not have SIN number for my wife.
I thought like you and did not get my wif a SIN number.
What happened after that was, I could not get tax refund amount of CD$2400 because my wife did not have a SIN number.
So just to protect you from any future unforeseen problems, get a SIN number. You may need it in future.
You dont need it now, but who knows when you might need it.