No, it's really not.
I've lived in genuine aristo style houses. The style there is organic and has evolved over time. It is comprised of furniture that was inherited and gifted and picked up somewhere. The rugs are often worn in places. There are proper paintings - generally ancestral portraits, paintings of dogs and horses and landscapes. Items are worn by the patina of hundreds of years and may be a bit dusty but are clearly valuable.
The Fogles' house is expensively decorated but has no personal style or soul. It is clearly a house where the interior designer aimed for the old money aristo style looked but failed because this can't be bought. (Remember the insult about Michael Heseltine: He is a man who buys his own furniture.)
And that odd room where he keeps his mementoes from his travels would appeal only to those who have a fetish for dressing up as Paddington Bear. It is the television presenter's version of a big game hunter's trophy room.
I suspect that Fogle is renting out his house at such an outrageous price (which I'm sure is negotiable) because he: has tremendous outgoings, an unpredictable income, no sizeable family inheritance to count on, is hoping to rent it short-term to film companies and magazines for interior shots and is aiming at the foreign market (particularly the Russians and Far Easterners) who want to experience an Olde Worlde Upper Class English environment. I wouldn't be surprised if Fogle is hoping his status as a relatively minor celebrity will help sell this to the foreign market. He might even throw in a meet-and-greet as a sweetener.