After conducting some tests, it was discovered that the issue persists not only in IE but also in Chrome. Interestingly, the problem in Chrome is resolved by clicking on the tooltip, whereas in IE this solution does not work.
Upon further investigation, it became apparent that both browsers fail to register a mousemove event while scrolling. As a result, when hovering over the tooltip and then scrolling up or down, the tooltip remains visible. In Chrome, clicking on the tooltip triggers a mouseevent which subsequently causes a mouseout/mouseenter event upon scrolling. However, IE does not exhibit this behavior, indicating that the issue may lie in how bootstrap manages the addition of a "scroll equals mousemove" trigger.
To verify this behavior, one can experiment by adding a mouse move event in the console for bootstrap's website/tooltip.js:
$(document).mousemove(function(event) {console.log(event);});
Moving the mouse should generate events in the console. Hovering over the tooltip and then scrolling away will still keep it visible. Clicking on the tooltip will reveal that scrolling now activates the same mouse event in Chrome but not in IE.