This isn't the English Premier League. There isn't a risk of demotion. If anything, being really bad for a couple of years rewards you with picking high which lets you fill your roster with high end talent (look how quickly guys like Hutchinson, Daniels, Burrows, etc have turned franchises around). I'd rather go actually go 'all-in' for a 3-4 year window by supplanting your good draft with effective FA pickups and see if you can win. Its worked for the Eagles, Rams and Bucs recently although obviously not guaranteed. Worst case you have to be poor for 1-2 years but with our scouting department, we should be able to recover faster than other teams. I'd much rather that than solely rely on our draft and D-list FA's which leads us to multiple 8-9 to 11-6 type years where we're never bad enough to get high picks (short of a QB injury) nor good enough to actually compete for a SB.
Dallas hasn't won in 30 years but is still a draw. Trying to win in a certain window and then rebuilding isn't going to lose you fans. It'll just give us hope in those years you do go for it.