Oscillation can self destroy the amp and might damage tweeters.
I assume that amplifier can safely drive all typical cables and speakers unless manufacturer specifies limitations - like maximum load capacitance.
Since preventing oscillation usually reduces bandwidth of the amp, either thru Zobel network, shallower negative feedback, limiting bandwidth at the input or frequency compensation, then amp that oscillates was likely designed with shortcuts to improve specifications (or poorly designed).
I assume that amplifier can safely drive all typical cables and speakers unless manufacturer specifies limitations - like maximum load capacitance.
Since preventing oscillation usually reduces bandwidth of the amp, either thru Zobel network, shallower negative feedback, limiting bandwidth at the input or frequency compensation, then amp that oscillates was likely designed with shortcuts to improve specifications (or poorly designed).