That's a volatile question because you'd be making one a clear advantage over the other. Dungeons easily become the path of least resistance, minimize the amount of work and time required to to get what I need. Theoretically, you could suggest yes.
However, The flaw with your scenario is that it outlines dailies as slow and inefficient, and comparing it against rapid valor gain/cap, rep gain, and the inherent gear reward from dungeons. Since every player already runs dungeons as part of their progression, dungeons don't become forced, it makes dailies obsolete. You'd inevitably receive all of your rewards without thinking about it. If I can get gear, unlock rewards, AND gain valor I need to use them, why would I bother doing anything outside of the normal? I'd just sit in the major city, run my dungeons and log out. Onto the next alt. It's why I wound up with 9 Lv85 characters through Cataclysm, all of them reasonably well geared in LFR.
At that point, they might as well just tie rewards to the dungeons themselves.
All things being equal though? Assuming the same valor cap? I'd say no, because I'd have no interest in spending a week grinding my self to the digital bone unlocking a bunch of rewards that I can't access yet. This is where I'm having a problem understanding. I have no problem with it, I just don't understand. The most vocal concerns about the current system aren't going to be solved by anything outside of a gear vendor in the Vale.
There are enough rewards available outside of reputations to keep players progressing. At 483iLvl from HoF/Terrace, with +8 from valor upgrades, craftable gear, and supplemented PvP gear to inflate your numbers, it's easy to hit the 480 requirement for ToT for 5.2.
Considering the above, it's hard to understand how players feel "forced" into one specific aspect of the game in order to remain viable.
The sunsong ranch, and daily dungeon rep additions are very welcomed, so long as they don't become more efficient than the rest of the game. Reverting back to Cataclysm level Tabards would be counterproductive IMO