"Kraft is cheap" is a silly statement, but yes, the Pats are playing it more conservatively than other organizations. So yes, there is a grain of truth to it.
When a team converts salary to bonus to defer the cap, they have to pony up CASH immediately to pay out that bonus. So all the moves the Saints made this year means that the owner is opening up the wallet big time - right now, as opposed to spreading it down the road.
The VOID years are a terrible tool that will create all kinds of problems, imo, and should not be allowed. The NFL has allowed arms' races where teams can blow through the CAP massively and hang on the edge of a cliff for several years...and in a QB-dominated league (because of rule changes), the teams who feel set there will have to do it to get the big pieces.
As for the pushing of CAP, the example the Pats fans should look at to keep sane is...Stephon Gilmore. Signing a player for a top end deal and pushing the cap means that the end of that deal, which won't be top-end anymore, and you hear things like "Why would Gilmore play for $7 million when so-and-so is making 16?"
Of course, he's not playing for $7 million - it's just that he got gobs of the current year's $$$ early.
So the NFL, by the way they're allowing CAP manipulation, is creating bad situations for lots of teams. This year, NO, Tampa (again), LA (again), Buffalo, the Raiders, the Chargers, and possibly the Bengals* are all in gamble mode. Seemingly, it unbalances the league as much as it used to be when they tried to find some parity...but it also means that these teams are going to eat it big time when the piper calls.
It also creates massive pay disparities around the league, which also will be detrimental. Football isn't basketball, and adding big name pieces doesn't mean as much in the NFL, but it still distorts the game detrimentally.
(Not including the Broncos because they added the centerpiece for years to come, which is a bit different)