Yes, of course, any sensible person does that, and it's my rule of thumb. I'm a stickler for using turn signals when changing lanes, as well. The problem is that such wise advice is irrelevant when spotting a very fast-moving small, low, biker is nearly impossible in the first place!!!.
I'm talking about freeway traffic that's going between 25 and 35 mph. Fortunately, most of the rice-rocketers are smart and split the lanes at cautously safe speeds so that you CAN spot them coming up, and Harleys -- well, you see AND hear them, and they're too big to go real fast between lanes of cars. But more times than I care to think about, as I'm crusing along at 30 mph with two lanes of cars doing the same speed on either side of me, some fool on a quiet rice-rocket slips between my car and one next to me so fast that had I been changing lanes, no matter how safely I did it, there's not a snowball's chance in hell that a collision could have been avoided.