A topic from AEG's L5R CCG Rules forum, copied for Oracle of the Void from a copy of the forum saved in October 2015, so pages it didn't save are missing. Players' names are left out; the rules officials are named. Rulings are as they stood on these dates; later rulings, the rulebooks and the Rules Archive may differ.
IF I have 3 additional Lobby chances in my turn (whatevver traits/actions might allow me to lobby an additional time) giving me 4 total lobby opportunities, and my opponent reacts with Kotono to my first lobby, do I then only have 1 additional lobby, or still all 4?
Political Interrupt, [Bow]: If the action is Lobby, it does not give the Imperial Favor, and its player may Lobby once more this turn.
The exact answer may depend on the exact texts of the cards that give you those additional uses of the Lobby player ability. But in general, you may assume that Kotono adds one more use to your particular count. Kotono says "may Lobby once more", which in essence is the same as saying "may use the Lobby player ability one additional time that turn". She does not "steal" you any opportunities, she doesn't restrict you to just a second use of Lobby (that would require her to say "may Lobby only once more" or something in that line)