Somewhat accurate Bob, but a little off.
What a pilot actually does to correct for a crosswind landing is called "Crabbing."
If you have a 30kt crosswind hitting you from your left side, your would drop your left wing to reduce effect of that crosswind and this will additionally place the plane into a slight left turn toward the wind (this may also concern passengers as the pilot must continually adjust power settings to compensate for the dropped wing and subsequent loss of lift. You also will provide left rudder which will give the appearance the plane is landing crosswise, when if actuality the pilot is simply keeping the nose of the plane and the thrust pointed directly into the wind and allowing the winds force to keep him over the runway instead of starting a "1/4 mile" away and letting the wind move the plane, the plane lines up directly over the mid line as he would for a no wind landing and uses the power of his engines to compensate
Many "Heavy" aircraft actually have main gear thy will swivel upon touchdown to compensate for the enormous forces applied when landing "less than straight"
The dipping and wallowing you see just before landing occurs when the pilot has discontinued "crabbing" and is using rudder and differential power to straighten out for that last 100 feet AGL or so. The plane is ?dirty? and slow at this point and tremendous amounts of thrust must be used for constant small corrections. (Watch film of a Navy Jet land on a carrier sometime, there is a reason they have a high approach speed) High crosswinds actually increase the landing speed for aircraft as they are more stable at speed and the deployment of landing flaps makes the craft more susceptible to the crosswinds
Want to try something fun; Try landing a Cessna 206 (Single engine high wing) in a crosswind component of 60o at 45kts, darn near had left wing on ground and landed almost sideways, quite a "jerk" when those wheels hit the dirt