Dairy is a grey area. Many people are affected by it while others eat it and still get results.
You just have to try it out for yourself. If you eat dairy products and are still seeing results, no need to cut it out. If you don't get the results you are looking for, cut out the dairy for a few weeks and see if that was affecting you.
Some cheese that is recommended specifically is hard cheese such as:
As you will read in the material James also like to have cheese with his diet as he adds Feta cheese onto his salads.
I hope this helps!