It really depends on your situation. Bishop score and all that.
I did two membrane sweeps after 41w. I had baby on 41w6d, but if he hadn't come that day, my mw recommended trying castor oil as the next step, then AROM on 42w even. The was because our aim was to have baby at home, they'd be ok with 24h with the ruptured membranes before the move to hospital, and I was gbs-. The other option was to move to the hospital at 42w for pitocin, risking out of home birth at 42w. However, my concern with ROM was that baby was still really high, which increases risk of prolapsed cord. I was already 3cm so manually dilating with a bulb or using ripening agents wasn't an option.