"in a case like this is it sensible to preemptively remove the links with the disavow tool?"
Once again, the Disavow tool was offered as a last resort by Google. Many webmasters seem frustrated the tool is not working as they expected, and the issue is typically they ignored Google's instructions for the tool's usage.
Prior to using the Disavow tool, you need to make an exhaustive effort to remove the links. Send a polite letter to the WHOIS address for the domain explaining the problem and identifying specific links from that domain which are pointing to your site. If there is no response within 3 days, send the same letter to an email address found on the site itself. If you still do not receive a response, check for a Contact Form on the site.
Try to learn what is going on with the site. Ask site owners how these links were created. It surely can be the result of negative SEO, but in the overwhelming majority of cases I have worked with, it is either the client or an agent acting on behalf of the client. Try digging a little deeper.