You obviously don't understand the question as posted. The OP is in fear if he overstays and then presents at the airport at a later date to go home for a visit. In the past he simply paid an overstay "fine". He now fears being not allowed to return in the future as he is now a deportee, a voluntary deportee, but still a deportee by statute.
Again, as I wrote before, right now nothing changed to the exit fee payment scheme. Also you can still extend your stay in Migracion in SD by paying your overstay (if any).
Things being as there are, even if they start "flagging" in the future, knowing how these people are, there for sure will come time of "waivers" to not-flag for a payment of some small "fee", say 100 greens. Come on people, thousands of Haitians cross daily to DR paying "fees" and "tolls", don't you think IN CASE something like "flagging" comes into action (which will not be tomorrow, or next week or next month) the "tolls" will be also available to the "overstayers"?