Oxford's reputation is good - although they are not unique in this. They do have a good focus on career planning / placement & seem to have some success.
They do enjoy high pass rates on the theory exams - amongst the best in the country.
They do offer flexibility on course choice - Integrated / Full Time Modular / Distance Learning Modular.
Full Time Modular students are certainly the equal of the people on the Integrated Courses - It is said that some airlines "had a problem" with distance learners and classed all modular students in the same catagory.
I hear that some airlines definitely like Oxford and will approach Oxford for a short list of candidates. Equally I have heard of one airline that had a bad experience with an Oxford "graduate" and have been wary of Oxford since.
Also worth a mention is that it is said that some airlines require their candidates to have achieved high marks in both their theory and flying exams / tests. (e.g. BA are said to require an 85% average from their sponsored students in their ground exams). Equally some employers are said to look only at your flying performance.
I'm studying at Oxford and find it very good. You need to see if any cost differential appears worth it, weigh up how important first time passes / high grades are to youas well as tieing this up with your own circumstances e.g. travel.
Final point - continuity - If you have been part of a single flight training organisation throughout your training history - then its in your favour - In the case of Oxford they are not likely to recommend you to people unless they know all about you .....
Final comment - the above is what I hear as a current student - better information may come from recent graduates !
Best of luck