Iโm going to respectfully disagree; had the phone kept shutting down you would have gone to Apple or a 3rd party repairer and got a new battery for 30-80ยฃโฌ$.
By masking the real issue and just giving you a poor experience, you wonder if it was always like that, or if there is something wrong at all, maybe you compare it with a snappy new phone and decide to upgrade for 1000ยฃโฌ$