I don't post here as much as others, but I'm more than happy to include links for most of my posts, and I will almost always run them through
mediabiasfactcheck.com and include a little byline below them, so others can see for themselves the source's potential bias and reliability. With a link to the MBFC page and type size set to 12, I also find it keeps me responsible for making sure I don't post questionable content. If something is Left, Right, or Extreme bias, or Mixed or lower Factual Reporting, I simply don't use it.
Source: Associated Press; Left-Center bias, High factual reporting.
I don't, however, have the time or desire to chase down links on facts that should be common knowledge. There have been times when I've included something like "For a source, try your tenth grade US Government textbook," and I'm sure there will be more to come.
Overall, though, yes, links are generally good for debates. Many of us also like to point out that the most reliable links come from sites that end in .edu, .gov, or .mil, and sometimes .org. Many .com links have reliable reputations and can be used with confidence, but many others do not, and cannot, because there's no limit to who can get a .com address and set up a blog in their basement. However, anyone who disputes a source from sites such as The Red Cross, NASA, the State Department, and so on is usually going to do their own credibility more harm than good.