May aerobatics be performed over a controlled airport without getting a waiver?
Actually "within the lateral boundaries of the surface areas of any Class D, Class C, or Class B airpace" DOES imply that you are not permitted to do aerobatics over these areas without special permits from the FAA or if there is a designated aerobatic box at that airport and said pilot remains within that airspace.  Even if you are not in the actual airspace itself, if you're above it, you're not allowed to fly acro over it.

Now, note the term "surface areas" could imply that you could fly aerobatics above or below Class C or Class B airspace SHELVES, that is a section of Class C or Class B airspace which does not touch the ground,  provided you don't enter those areas and and said airspace meets all the other requirements of FAR 91.303.

Also, some elements of the question may be interpreted in a way that would lose sight of the distinction between Class-E-to-surface areas "designated for an airport"-- i.e. actually surrounding the airport whose approaches they protect -- versus Class-E-to-surface "extensions".   Or perhaps the questioner was fully cognizant of, and following the example of, the language used in the AIM, as well as in the section headings of FAA Order 7400.11B, "Airspace Designations And Reporting Points".  In these places the phrase "Surface Area" is used ONLY to refer to Class-E-to-surface areas that surrounding the airports whose approaches they protect, and not to refer to Class-E-to-surface "extensions".  At any rate, the Class-E-to-surface "extensions" do not fall within the meaning of "Within the lateral boundaries of the surface areas of... Class E airspace designated for an airport".  One clear way to refer only to those Class-E-to-surface airspaces that actually surround the airport whose approaches they protect, is to include the phrase "designated for an airport".  For much more on the meaning of "Within the lateral boundaries of the surface area of... Class E airspace designated for an airport", please see this answer to the question "Which parts of class E airspace can an ultralight (part 103) fly in without prior ATC authorization?", as well as this answer to the question "Does FAR 91.155c apply to class E surface extensions?"