The Verdict: Not eligible
The elective residence visa forbids all work, including remote work for clients abroad, so it is not for you. Look at Italy's digital nomad visa instead, which lets you keep working.
The rule covers employment, self-employment and remote work for a company outside Italy. It is the defining condition of the visa, and holding it while working puts renewal at risk.
The digital nomad visa is built for people living in Italy while earning from employers or clients outside it. It has its own income test and paperwork, and it needs no Italian employer.