Its a simple concept. You only have about 30 days before Aaron's will start demanding return of merchandise. They actually are more fair than their competitors in seeing you get to ownership. They have a few more tools to work with, however, keep in mind that it is a lease and not a credit purchase.
There is a general manager in that store who is being paid based on store profit. You don't pay, it counts against his store numbers in several ways: uncollected revenue, past due percentages, charge off percentages (after 60 days), and the cost of the legal filings that he will do.
And by the way, you were told at the very beginning that there is NO grace period and that you must return the merchandise if your lease is allowed to expire. Sad that you had a heart attack, but why do you have a sense of entitlement and expect others to share your misfortune? That is a large part of what is wrong with America today. One more thing, the lifetime reinstatement plan is designed for those who return their merchandise and abide by the lease agreement, not those who disregard it. You don't use a lifetime reinstatement after having kept the merchandise without paying for several months.
Do the right thing and abide by the lease agreement that you signed, after all, you were probably only too happy to have them bring the merchandise to you with no credit check and little money down.