I think there are two very different and equally fair ways to view the job:
Version 1: Illinois is a top-15 all-time program in one of the most talent-rich states in the country. We have been nationally relevant for long stretches in the past (our all-time peer programs are along the lines of Arizona, Syracuse, Michigan State, Maryland, Villanova, Georgetown - the current situation is anomalous). We recruit the St Louis area as well as anyone and have strong regional connections to Ohio, Indiana, and Wisconsin. Chicago is a top-5 media market and St Louis is big enough to generate plenty of visibility. We are a major research university with abundant resources, top-notch athletic facilities, and a vast network of powerful alumni. This is a job where the right coach can become a legend. We were on the cusp of elite status from 1980 to 2007 - constantly on ESPN, perpetually sold out arenas, pulling in top-50 recruits regularly. So there's a precedent.
Version 2: Illinois is a difficult job. Fans have outlandish expectations due to the Henson-Kruger-Self stretch and won't settle for even brief stretches of mediocrity. The brand has eroded to the point where schools like Northwestern, Minnesota, Texas Tech, and Colorado are seen as more reasonable program peers by national observers. The state itself is a financial and administrative disaster, the university is in the rural Midwest (the picture of cultural desolation according to many), the Big Ten is an annual bloodbath with strategically brilliant coaches and brutally physical play, Chicago recruiting is at best difficult to break into and at worst rife with corruption. Maybe 10-15 years ago the Illini brand had enough sex appeal to overcome the cornfields and bitter winters, but not now. While the program's past success represents a sort of proof-of-concept, the expectations now are a millstone.
I don't think that either viewpoint is wrong, per se. I think it's complicated and ultimately a matter of perspective. We all tend toward the former view, while most people around the country likely lean toward the latter (or somewhere in the middle). The right coach will embrace the glass-half-full version and relish the challenge.