OK, time for a bit of analysis. Feel free to skip this post if your eyes start to glaze over.
BTW, this all comes out of my head using basic high school level physics and maths. It's probably covered more thoroughly in some obscure motorcycle design textbook, but I don't have access to anyone else's musings on the subject.
There will of course be some lateral forces on the oil in the sump as a bike leans into a corner, but I don't think they'd be particularly significant to the design of the oil pickup. That's why I made the statement in Julian's race bike thread that a swinging oil pickup wasn't necessary. A narrow or V-shaped sump with the pump suction tube at the bottom should be more than adequate to ensure reliable oil scavenging. Actually, thinking about it a bit more, a swinging oil pickup could be a disadvantage if it get's stuck on the wrong side. I reckon it's a complication best avoided.
For a bike not to fall over, the G-force acting on the centre of gravity of the bike/rider combination must be aligned through the contact patches of the tyres on the road. This is true whether going in a straight line or leaning into a corner. Those three points (CG + two tyre contact patches define a plane though which all of the forces (including acceleration and braking) act. Let's call this the force plane. If you get a force outside that plane that's not countered by some other input (like putting a foot down), then things become unstable.
The source of the lateral forces is interesting. It comes from the fact that a bike doesn't pivot on its centreline as it leans. It rolls around the curved profile of the tyre, so the contact patch moves off-centre toward the inside of the turn. That means you have to lean a bit further to keep the CG "above" the contact patch. The wider the tyre, the greater the off-centre effect. A wide tyre has the advantage that it effectively increases cornering clearance as you lean, but it also means you have to lean further than a bike with narrow tyres at the same speed.
Another "off-centre" component is the rider. He can hang off the side of the bike to move the CG towards the inside of the turn, reducing the amount the bike has to lean.
As far as the lateral oil slosh is concerned, whether you're pulling 1.3G or 1.6G doesn't really matter. All you need to know is how far the force plane deviates from the centre plane of the bike. That depends on the tyre width and the height of the CG above the ground. That calculation involves a bit of trigonometry (I'm happy to provide the calculation details if anyone is interested).
The lower the CG, the greater the effect of the contact patch offset, so erring on the side of worst case I'll assume a pretty low CG of 600mm above the ground, and a 160mm wide tyre. At a 45° lean, I figured out that the force plane deviates from the bike centre plane by a bit over 8°. At 60° lean like the MotoGP guys can achieve, the deviation is around 13°. That's the angle that the oil surface will deviate from its normal orientation relative to the bike. It'll actually push the oil towards the inside of the turn.
The above calculation doesn't allow for rider gymnastics. In the real world, the rider will lean into the corner, with the effect of standing the bike up a little. That will move the oil back towards the outside of the corner, offsetting the oil shift calculation above. So it may go back to zero, or somewhere near. How much the two opposing actions counteract each other probably depends on the agility of the rider. But even if the rider stays bolt upright, 13° isn't likely to bother the oil pickup even in a full width sump.