You definitely need an EXPERIENCED installer to install on stucco.
In your case, the dish is installed too close to the edge of the chimney, especially for the "monopole" anchor . It should be moved about 24 inches to the right.
Succo installs can be done by experienced insytallers.
As far as installs on stucco, in the West it is not the same as stucco in Florida. It depends on what stucco is placed over. In Florida, stucco is placed directly on concrete block. In that case, there is a strong substae to install on with Tapcons, Togglers or other types of wedge anchors.
In the Western United States, stucco is installed onto "chicken wire" stretched over "tar paper" stapled over 2x4 vertical wooden studs, usually made of Douglas fir and placed on 16 inch centers.
In all cases, the stucco, itself, is NOT strong enough to support any dish. The screws must be fastened to the wooden studs below. In the photos, the installer used plastic screw shields.
The center of the second stud from the corner of the wall must be found. I prefer to use a 1/16" diameter piece of piano wire snipped off of an "insulation hanger" to drill into the stucco. Allowing for stucco to be about an inch thick +3/4 inch + 16 inches to the left, you should be able to find the wood of the stud. Locate the edge and move 3/4 inches either to the right or the left to find the center of the #2 stud. Using a level, draw a plumb line with a pencil up some 3 feet above the location where you plan to mount the dish foot. Place the mounting foot with the two center holes vertically centered and mark, then drill two 5/16 inch pilot holes trough the stucco. Using a 1/4 inch bit drill at least two inches into the wood stud below. Place sealant in the hole and drive in 4 inch long 5/16" lag screws.
Plumb the mast, and tighten the bolts. About 7 inches down from the top of the mast, place a 24 inch level with the end on the wall, while maintaining the bubble level. Mark the wall at the previously drawn vertical line. Center the level against the wall and draw a level horizontal lint on the wall. On this horizontal line, place two more vertical pencil marks 16 inches on each side of the long vertiical line.
Assemble the "monopole" braces on the mast at the 7 inch line from the top of the pole. Make sure the slots on the other end of the "monopole" mounting flange will allow lag screws to be driven into the vertical center of the two adjacent studs.
Tighten the "monopoles," while makeing sure that the pole is plumb. I magnetic fence post level is a good item to have for this purpose.
Install the dish and peak.
This is the proper way to install on stucco that is on a wood framed house.
Unfortunately, they have priced the experienced installers out of the market. Instead, the HSP's have opted for inexperienced low pay "Kids" right out of high school, without any specialized training.