I've never used either of those. I assume it would be ok to use those as long as you let them dry first on the hair. It also depends on how far down the list the silk protein is (if it's the last or second to last ingredient, I wouldn't use it haha).
I use shampoos, conditioners, and serums with silk all the time. In comparison to other proteins, silk has a more nourishing effect. One reason why silk proteins can offer a layer of protection unlike some other proteins is because most of those proteins are hydrolyzed enough so that they have a low enough molecular weight to penetrate into the hair strand and rebuild your hair's structure, but they don't coat. Also, in nature, silk forms a very strong protective film that other proteins cannot. For instance, dragline spider silk is stronger than steel when stretched to the same lengths.
http://instadv.ucsb.edu/93106/2002/October7/spider.html
"The molecules are designed to be pulled; they are elastic and very strong. The silk can be extended 30 to 50 percent of its length before it breaks. It is stronger than steel and comparable in strength to Kevlar, the artificial fabric used in bulletproof vests."
http://www.bbc.co.uk/science/hottopics/superheroes/
"Dragline silk, which spiders use to crawl down from ceiling to floor, is the strongest of all. Weight for weight it is actually stronger than steel, holding over 280,000,000kg per square metre (400,000 pounds per square inch) without breaking."
With many products that contain silk, the silk molecules are usually too large (their molecular weight is not low enough when hydrolyzed normally) to penetrate the strand, so all they can do is coat the hair. However, this isn't the case with all silk-containing products because some are hydrolyzed more than others. Another reason why I like CHI Silk Infusion is because it has large, medium, and small silk protein molecules (which means some coat the hair for protection while others penetrate to gently reconstruct the strand, so you get the best of both worlds: reconstruction and protection). Biosilk Silk Therapy for instance only has large silk molecules.