This summary is not the rule. The rule text controls.
When a lawyer speaks to a lawmaking body or a government agency on behalf of a client, and the situation isn't a formal hearing or trial, the lawyer has to make it clear they are there representing someone else, not speaking as a private citizen. People listening need to know the lawyer has a client with a stake in the outcome.
The lawyer also has to follow the same honesty and fairness rules that apply in courtrooms. This means the lawyer can't lie to the body they're addressing, can't hide important facts when the law requires disclosure, and can't try to influence people through improper means like bribes or backdoor contacts. The lawyer also can't destroy evidence, mislead people, or break other basic fairness rules that apply in legal settings.
Basically, this rule stops lawyers from using their professional status to quietly push an agenda without admitting who they represent. It also makes sure that even outside a courtroom, lawyers stick to honest and fair tactics when they are trying to persuade lawmakers or government officials.