Spray on stucco (Texcote) removal

The previous owner of our house had a lacy Texcote applied to the exterior walls of our Spanish Revival stucco home. The stuff is holding up very well, but I really dislike the look of it. Can I just cover it with a skim coat of stucco or will that cause any problems? I have noticed that after a rain some areas of the walls look discolored and take longer to dry out, but otherwise the Texcote unfortunately is very solid. Thanks in advance!
Add pictures here
<% if( /^image/.test(type) ){ %>
<% } %>
Add image file

HomeOwnersHub.com is a website for homeowners and building and maintenance pros. It is not affiliated with any of the manufacturers or service providers discussed here. All logos and trade names are the property of their respective owners.