The reason the lime mortar is damp is because the cement based mortar in front of it is preventing the moisture from moving out to the surface and evaporating off. The moisture will be coming from the ground beneath the wall and from inside the house as much if not more from outside.
Adding cement to lime mortar messes up the chemistry of both causing it to be weaker than lime on its own - it really isn't worth going to all the trouble of repointing and ending up with a soggy wall and pointing that fails.
Adding cement to lime mortar messes up the chemistry of both causing it to be weaker than lime on its own - it really isn't worth going to all the trouble of repointing and ending up with a soggy wall and pointing that fails.