To address this question, let's review the aerodynamics involved in aircraft wingtips and the formation of wingtip vortices.
Lift generation
A wing generates lift by creating a pressure difference between its upper and lower surfaces. The air pressure is higher under the wing and lower above it.
This pressure difference is the main principle of lift generation.
Wingtip Vortex
The high-pressure air from beneath the wing tends to flow towards the low-pressure area above the wing, this happens along the entire wing, but especially at the wingtips. This is because the wing abruptly ends, in an infinite wing, wingtip vortices would not generate.
This image gives a good overview:
These vortices are a byproduct of the lift generated by the wing and are strongest when the wing generates the most lift, such as during takeoff and landing.
Is all the airflow turning into vortices?
Long story short
The fluid flow dynamics involved in lift generation are complex and subject to many variables. Not all the air will be neatly channeled into the vortices.
While a significant portion of the air contributes to forming these vortices, it's not necessarily true that all of it does. Some airflow may pass around the wingtip without being involved in the vortex creation.
Many variables can alter the actual path of the air; these factors can include:
Dirt or Debris on the Wing: Accumulating dirt, ice, or other debris on the wing can alter the airflow. These contaminants can disrupt the smooth flow of air, potentially affecting lift and drag characteristics. This disruption can also modify the formation and strength of wingtip vortices.
Accessories like Winglets: Winglets, which are vertical extensions at the wingtips, are designed to reduce the strength of wingtip vortices by redirecting the airflow to diminish the intensity of these vortices. They also improve the overall aerodynamic efficiency of the wing.
Wing Design and Shape: Different wing designs, shapes, and sizes will influence how air flows around them, including how vortices form at the wingtips. Factors like aspect ratio, wing sweep, and camber affect aerodynamic performance.
Speed and Angle of Attack: The aircraft's speed and angle of attack significantly influence airflow patterns. At higher angles of attack, which occur during takeoff and landing, wingtip vortices are typically stronger.