Hi Hydro Clean,
More words of caution from me. I know from reading Mark's posts that he not only likes Ultrapac Renovate, he is an expert in how and when to use it, when to mix it hot, using agitation and dwell time etc. With his tips I have even used it on upholstery to great effect.
Remember that this is a high alkaline RESTORATION product - I use it on fire cleans to remove acidic smoke damage. Until you are confident that you have achieved Mark's proficiency and experience, proceed with caution, experimenting with soot falls (I have one later this week), filtration soiling etc.
One comment about your specific problem - are you sure it is dye transfer rather than fibre transfer from the socks - if it is the latter, you need a different solution.