All ships have anchors. Dragging the anchor on the sea bed drags the cable and after the cable becomes too tight, the cable breaks. Naturally speed of ship also drops when dragging the anchor through the sea bed and cable. In short, all ships can cut cables if required.
What I’m worried is our “peaceful neighbours” doing copycat tactics on Indian cables. Pakistan, Bangladesh, Maldives & Sri Lanka have Chinese ships stopping at their ports. Pakistani army is already sitting in Bangladesh according to latest reports. If they get it in their heads to give us some economic damage (since they always talk about India IT is making huge amounts for India), they can one day think about cutting Indian cables running towards USA or Middle east or Singapore to stop our IT sector.