There's a bit of confusion here.
You cannot sell to open an option that you already own. Selling it removes it from your account and that is a sell to close.
You cannot "create fictitious open interest", aka "paint the tape" with open interest. Open interest is the total number of option contracts that are currently open.
In and of itself, writing an option (selling to open) does not increase the open interest.
There are 4 possibilities here;
If there is a BTO and a STO, a new contract is created and open interest increases by one.
If there is a BTO and a STC (or a BTC and a STO), the contract is just changing hands and open interest does not change.
If there is a BTC and a STC, an existing contract disappears and open interest decreases by one.