Besides the environmental
footprint of the OPC (ordinary portland cements) industry being something not to support...I can say that earth and lime based mortar actually have (and still do) present as one of the most durable methods humans have come up with to help fill voids (not glue together) in masonry and
wood. OPC...in its current form...has only been around for about 150 years or less. Natural cements (only a few manufactures left in North America) are similar to lime, but are mainly employed by Historical Restoration Artisan like myself to use in preserving vintage masonry fabric. Plus, it is very expensive.
Will earth mortars wash away? Depends on the application, the mix, matrix blend, and environment. About the only time I will use a modern OPC (as I just did today) is in a "critical structural bearing repair" that require "instant" load bearing requirements...and/or...some
water features. This is a very narrow, well defined, and technical application, which does not happen that often.
If you employed a solid "herring bone" pattern with lime and/or earth mortars, the results will last a very long time in my
experience. Each application is different, depending on goals and requirements of the
project.