Sure, any amplifier will run hotter with a higher quiescent and that may cause failure, but it does depend on the design. For example professional amplifiers are typically designed to produce their rated power continuously and have suitably specified heat sinking; a 1000W class a/b amplifier will dissipate 400 watts or so at full power, which requires a lot of heat sinking capability. In contrast a 100W hifi amplifier expected to be rarely driven into clipping will only dissipate a few watts over the quiescent, and heat sinking is designed accordingly. If the quiescent is set too high an amplifier may well be driven into thermal breakdown, depending on the ambient temperature and ventilation around the device concerned.