The best possibility will be to ask at the end of that webinar directly. I have already tried to write mail but without any answer.
Unlike Quebec, New Brunswick does fully operate under new Express system. That also means that the province is presenting under the common stream (and by now there are lot of provinces written for presenation there - different dates and times webinars).
Furthermore, the current webinar is in French, which means that it is aimed for people who might also qualify under francophone stream (where no webinar is needed). And it seems there is rather higher demand for francophones or bilinguals there (so I guess that most of the remaining ITA will go that way).
There is nowhere on the website written, that the information session about NB shall be a live IRL session only. Plus now they have finished issuing ITA on the sessions, so the webinar could be just fine.
And lastly - being able to put down your EOI does not mean that you will get the ITA or nomination itself.