@bernie12
There’s a few different CS department models out there, and frankly I have beefs with even some of the big names even.
There’s the ones that try to group it with Math, which (when taken to its full potential) ends up producing a bunch of theory, some good research in math-heavy areas, but lacks strongly in practical application, and really clashes with Industry. UChicago is a pretty good example there. Emory, if it were to bloom to its full potential, would probably end up in this category. Personally, not a fan.
There are the college that say it’s an Engineering discipline - while it often is interdisciplinary with engineering and can share some of the same problem-solving skillsets, this approach often leads to a terrible teaching style in my experience. It does lend itself very well to research, though. UCB overall fits this well (not perfectly, and they do a TON of things right - only using them as a mainstream example), but many schools still classify CS as an Engineering.
The best philosophy in my mind is, of course, having it as it’s own separate discipline that integrates often with others. More and more schools are going this route, and when you do, you often get better teaching as well as offerings. After all, it doesn’t look good to have a whole department be lacking in class depth. Within this approach, there’s plenty of different schools of thoughts within it, and those will play out over time.
I don’t know much about UIUC beyond its rank, but looking at its department, it seems to be somewhat in two of the categories - it has its own CS department, but the degrees are still offered through either the Engineering department or the Arts/Sciences college (for math dual combos). Historically, the CS department was established in 1972, within the Engineering college. Better than fully lumping it in with Engineering for sure in my book, but I’m a bit of a purist personally in separating from Engineering Everyone doesn’t share there - take that part as personal gospel. I’m also coming from attending the oldest pure CS college in the US by technicality, but there is a difference for sure. Whether it matters depends on who you ask.
To try to tie all of this back to the OP, transferring not only gets a prestige bump, but likely will get a department philosophy change as well. I think that’s a big positive. Still, as most here have agreed, it’s not worth the hassle of transferring if the OP is otherwise happy at Emory, as it will serve just fine. However, each of the 3 philosophies can grant vastly different opportunities and cultivate very distinct cultures. In industry, all three philosophies will work (though I have my suspicions on the results if someone ran a study on it - no one has, though, and if they did, few to no employers would care). They will see your experience, the name of the school for a split second, and will go from there.