Rango,
In my research I bumped into another slider module developed by TCVN (which I presume is a company within your group, or an associate, or the same company?) called WOW Slider (
thecoders.vn/joomla-modules/item/68-tcvn-wow-slider-free.html). Well, I uploaded and installed the extension and, after testing, found it to be perfectly responsive to iPad rotations, adjusting itself as the device is reoriented. You may want to take a look at that implementation and check for changes that could be incorporated into Jssor IS to address the issue we're facing.
Also, after assessing the good features each product, and assuming that both companies are in fact part of the same group, I'd like to suggest you to merge both sliders into one, bringing together the best of each - the result would be awesome.
Thank you.