I am running this software on OS X and I do not have Internet Explorer at all. I've never experienced the software reaching out any of the browsers and I can't think of a way it should reach any browser at all. For Windows I think you cannot remove IE completely because it is part of the core of the OS and it would hurt the functionality of many of the apps out there, including the whole OS, so I am not sure if you should try to do something like that.
I believe it is the best thing to reach out the support of the software provider and create a support ticket there for your question. They were helpful for me, however you should know that because of the US holidays, they could potentially respond you with a bit of delay.