Ask about what you will do with the two degrees. They are not the same. Others may have more information but my understanding is that CSE is more about designing a working with hardware vs CS which is more concerned with programming and software. I am not an expert in either so I apologize if I am mistaken but I don’t believe this is an apples to apples comparison. Where you go may be a function of what your goals are.
yes, CSE at Ohio state, has a little bit engineering stuff, but it is not computer engineering which is mostly hardware, I read the information, CSE at ohio state has software components in it and the computer science component it has is the same with CIS at OSU.
Where did you end up? How is your semester so far?