Extreme heat is the number-one killer of innocent electrical parts. And while that battery is certainly part of the problem, Suzuki’s tech types suspect a faulty regulator/rectifier is the most likely culprit. Your SV1000S left the factory with a sealed, maintenance-free, lead-calcium battery that carries most of its electrolyte in sections of glass mat. It would look pretty dry in there if you popped the cover, which would be Mistake Number One. The higher (1.32) specific gravity of said juice makes adding acid Mistake Number Two, although it sounds like the latest victim is an old-school lead-acid cell. Start the healing process with a fresh, properly charged, maintenance-free battery.