Fluorescent lighting does seem to be a grey area Manuel.
Speaking only of parallel wired electronic ballasts, if the one lamp that goes out does not reduce the remaining lamp load to below the minimum footage recommended for that ballast the ballast will run just fine without overheating. Now if that lamp going out takes the remaining load below the minimum footage the life of the ballast will be shortened. If the sign is dim and only a couple of lamps are lit it is better to turn it off and at least save the ballast and at least the expense of replacing the ballast.
I get loading questions for fluorescent ballasts both magnetic and electronic, T12 and T8, and they appear to be the same questions from different people.
Another point to remember is that when using an electronic ballast with only one wire going from the ballast to the socket, connect that wire to BOTH wires of the socket and if a jumper is needed to get to the next socket use another wire. Too many times the ballast wire is connected to one wire on the socket and the other is used to jump to the next. This sends all of the current for both lamps through the first lamp and burns it our very quickly.
I'll stop typing now...
Dave