Yes, restructuring pushes cap hits into the future.
But this is a absolutely worthless concern to have without any added context.
1. How much dead money do they have pushed into future?
2. How much guaranteed money do they have in the future?
3. How many roster spots / players under contract do they have into the future?
4. Do they have a full assortment of future draft picks?
5. What is their current CASH outlay?
These are all the things you'd have to ask before determining if a restructure money is advisable or not.
The median NFL team overspends the cap by around 6% and that level of overspending is very sustainable over longer timelines. Perhaps up to 10% over is as well. Over a 4-5 year timeline a 20% may even be accomplished but carries a bit more risk.
Bears were in that 6-10% overage range the past 2 years. But the 3 years before that they were like 10% UNDER.
If they make no more significant signings I'd estimate them at like 10% under this year as well, putting them just slightly above a 1:1 cash to cap 3 year cycle (the CBA dictates at least 90% for each team over these 3 year cycles).
So very technically speaking they are being cap responsible, but there's a 5% + edge they aren't taking advantage of long term if that's how they spend.
Does that matter? The Chiefs would say no, as they are perpetually low spenders. So it's not the only thing that matters, but given Poles track record I'd like that extra 5%+ spending nudge to get more room for error.