As I understand it, you're saying a salary cap levels the field somewhat, despite differences in owernship/management - I'm saying the opposite - that a salary cap INCREASES the tilt of the playing field by making ownership/management MORE important.
No, what I said was that a Salary Cap provides more potential advantage for strong management to have an edge, and that access to putting together a strong management team is more feasible than access to dollars that simply aren't there. So if you don't have to worry about the dollar differential, you only have to concern yourself with assembling a strong management team (not an easy task, but again easier than finding dollars that aren't there).
Here's another way of saying it:
Money is essentially a 'set variable', particular cities/franchises will either have tons of it to spend or they won't have tons of it to spend.
Good management is not a 'set variable', any city/franchise can potentially have it, though generally not all will have it at any particular moment in time.
Could teams like the Sabres, Oilers, Predators have potential of spending at the top of the League, almost certainly no. Could those same teams have the potential of having the best management at the top of the League, certainly they could, though not necessarily would it be the case.