There isn't another city in the world that would stop a transit line at Eglinton along a corridor like Don Mills. Relief isn't the only reason to continue to Finch - Don Mills is lined with jobs, schools, stores, and dozens of towers, and transit use along Don Mills would increase enormously with the DRL, probably over 100% in the medium term.
The beginning logic is perilously close to the "Europe builds LRT, we should build LRT" thought process that characterizes the LRT fetishists. I can't personally think of any City engaged in putting rapid transit along a route with a peak point demand not exceeding 5,000 pph/pd, but even if there were that shouldn't matter. We know that subways have certain costs and require certain riderships to be feasible. There is no evidence suggesting that Don Mills north of Eglinton fits this requirement, arbitrary claims that demand will "increase enormously... probably over 100%" being meaningless.
Having multiple routes with frequencies of a few minutes run overlapping on the highway for 2-10+km, only to have them end up on up on the subway, anyway, is horribly inefficient. Between highway widenings and paying bus drivers to sit on the DVP, you could build a lot of DRL up Don Mills, especially if whoever it is at the TTC with a tunnel fetish that's dictating construction these days is removed from power.
At the very minimum (200m/km...) building some kind of rapid transit between Eglinton and Yorkmills (4km) you are looking at 800m$. That sum of money for 20 odd thousand bus riders to save two or three minutes is idiotic.
I, personally, don't think it is worth bothering to try to "divert" routes like York Mills in the first place, so am not exactly salivating at the potential of rerouting some 95 buses down Don Mills. If you have some overriding goal of making sure nobody takes the Yonge subway though, it is simply more cost effective to have existing buses drive an extra five minutes as opposed to spending what would most likely round to a billion dollars to intercept them 4km earlier.
Actually, it does mean we need to be moving these people on other lines, and a DRL up Don Mills is an ideal solution. Even if Yonge trains ran every 10 seconds, that may preempt waits to get on the trains, but all it does at the other end is aggravate crowding at places like staircases.
Relief is not being overstated since the DRL is being considered solely because of relief. The goal is to ensure that it gets built with more than relief in mind, and running it up Don Mills just happens to maximize both relief and benefits for riders and neighbourhoods.
You are being disingenuous. Nobody, anywhere in the history of Toronto, has claimed it is necessary for a prospective DRL to provide relief by traveling to Finch. As Voltz remarked, that isn't "relief" but simply replacement. The original DRL proposal was solely to provide relief to Yonge/Bloor by diverting riders from the Bloor Line. Eglinton is a natural extension as the route is relatively close to downtown and conveniently intercepts high volume bus routes (Eglinton, Leslie, Don Mills, Lawrence, Flemindon) in a fairly dense area.
The next major corridors, Sheppard & Finch, are over 6km away from here over an area of decidedly non-subway density, and are already well served by rapid transit (the Sheppard subway) and Highway 401.
"Relief" isn't limitless thing. We only need a specific, finite, amount of it for the foreseeable future. Beyond that point, we are simply overbuilding. There is no difference between building a 50 bay bus terminal and building a subway to Finch simply to fill some undefined need for "relief." Both are wastes of money in that they provide unneeded capacity. Between intercepting Y/Bloor riders, Eglinton East, Leslie, Lawrence East, Flemingdon Park and Don Mills riders and capacity improvements along Yonge, I see no reason why we would need yet more relief. Or how that relief would be best provided by spending a few billion dollars to intercept the York Mills busroute.