No, not automatically because they are your heirs. Exit companies like to throw this around to scare older timeshare owners to get out is because you’re their kids “will be stuck” with the timeshare payments. This notion is not 100% accurate.
Many timeshare arrangements are deeded property with a perpetuity clause, which means your estate will have to deal with the timeshare after you pass. Your timeshare property could hold up the closing of your estate. However, debts cannot be passed to your children or heirs through the probate process. In other words, your kids don’t automatically inherit your debts. They have the right to refuse to take the timeshare and abandon it, but it could keep the estate from being closed.
If you have a will or trust in place it may be a good idea to speak with your attorney to see if there are legal protections to prevent that from becoming an issue. Being proactive and taking care of your timeshare now rather than when it becomes an estate problem is usually the best course of action.