I was able to fix it by destroying the initialized widget instance upon the Initialized event of it, and then by re-creating it so drag event listeners are properly bound. 

Example code:

var sliderContainer = document.getElementById($parameters.In_SliderId);

if (sliderContainer) {

        var actualSliderElement = sliderContainer.classList.contains('noUi-target') 

                ? sliderContainer 

                : sliderContainer.querySelector('.noUi-target');

            // --- UPDATED: Fetch, mutate, and re-apply the full options object ---

            if (actualSliderElement && actualSliderElement.noUiSlider) {

                var instance = actualSliderElement.noUiSlider;

                // Preserve live references (formatter objects are not JSON-serializable)

                var originalTooltips = instance.options.tooltips;

                var originalFormat   = instance.options.format;

                var originalAriaFormat = instance.options.ariaFormat;

                // Snapshot the rest of the options safely

                var currentOptions = JSON.parse(JSON.stringify(instance.options));

                // Restore the live formatter references

                currentOptions.tooltips   = originalTooltips;

                currentOptions.format     = originalFormat;

                currentOptions.ariaFormat = originalAriaFormat;

                currentOptions.behaviour = 'drag'; 

                // Destroy and re-create so drag event listeners are properly bound

                instance.destroy();

                noUiSlider.create(actualSliderElement, currentOptions);

                console.log('RangeSlider re-initialized with drag behaviour.');

            }

}