I'm glad that you've proceeded with your project. In this instance I recommend to test the lime wash stain to see what effect it might have on the raw timber. When raw unprotected timber gets wet it turns dark because of the water entering the pores of the timber. Because lime wash is a stain it might darken the raw part that you've sanded. Test one coat to see the effect on that area, if turns dark you might have to use a sealing wax instead.
A sealing wax creates a barrier coat on top of the timber and does not travel down in to the pores. It does however create a shine on the timber, depending on the wax you use this too will have a particular effect to the finish of the sanded area of the table. Please note that if you choose to use something totally different, you will need to sand off the area where you tested the other products. Please let us know once you've tested these products on your table. Looking forward to seeing the results.