No, we should not risk the health of our oceans in order to try and end global warming. There is little reason to cause another global climate crisis while attempting to stop another one. Shooting ourselves in the foor in order to fix the problem of global warming would solve nothing.
Oceanic Heat Transport could help dissipate the effects of global warming but at a great cost. OHT would damage our world's oceans in various ways without actually defeating global warming. There's no reason we should harm our oceans for a slight reduction in warming, especially because some degree of global warming is naturally occurring.