Dream on: the act details the constitution. Impeachment is the equivalent of a conviction by court for public office. MCAs, MPs, senators are political courts - they merely cannot jail you but their word is final on eligibility. Judiciary can only overrule them on process. Sonko has narrow window to prove MCA accounts were hacked. Waititu goose was already eaten.
An MP recalled would equally loose the right to vie. Permanently.
We can quote the Commonwealth if you prefer: in the US, the chief justice usually oversees the process where the subject is the president - or the state chief judge oversees for governor. The US constitution bars presidential or gubernatorial pardons for impeached folks. This is because impeachment while not a jail sentence, is not only immediate removal from office but strips one of the right to hold public office in future.
The constitution is more supreme.
Leadership & integrity act 2012