Whether you have enabled monetization or not, but you will get strike on that video, it will be up to the owner of the video, whether he allows you to run that video on your channel or just send you copyright. But normally they do not allow other persons to publish the copy of their video in any means.
This is because they know that it can be used to populate the channel or to drive traffic to website. This will breach community guide line. I hope you will understand this.