Ues and no.. It all depends on where you are parked and where the towers are. I will explain.
Take a necklace chain,, and a state map, NOw, understand this will not be to Scale, it is representive only.
Put a thumb tack in the map and arrange the chain around it,in a circle, so the tac is in the center of the circle.
This represents the pattern of the Winegard Roadstar omni-directional antenna.
Now, put a craft stick under the thumb tac, Arrainge the necklace in an oval, about 3 to one ratio with the short axis lying along the craft stick.
This is the pattern of the Batwing, sans Wingman.. You will notice the ends of the pattern are much farther than they were,, But the sides are reduced so a station "off the beam" (The end of the craft stick) that used to be in the circle may now be outside it.. But a staion off the bow, or stern (Perpenduclar to the craft stick) would now be in range.
Now break a 2nd craft stick in half and put the half perpenduclar to the original at the center point (Thumb tac)
Pull the chain into an egg shape.. Retain teh short radius around the bottom but now you notice the "main lobe" (the long axis) is much longer (1.4 in actual terms, but on the necklace it won't be as long) again, stations that used to be inside drop out, but you can see much farther.
Turning the antenna as you change channels will bring in the missing ones (At the cost of others) this is OK if you use one TV.
This is basic antenna theory.. I have used it to locate towers in the past (Direction finding) even on a hand held AM radio it works that way.
This is why I'm such a fan of the Fully Expanded Batwing... It has RANGE.
I can live with re-aiming for different stations.
Oh, and where I'm going tomorrow.. Turns out the stations are either side of me, So the wingman will let me see one way (Thankfully all the major networks lie in that directrion) but only VHF stations to the other side.