Arrived in Israel yesterday at 4:30pm from Canada. After a lot of ambiguity about the process to get out of bidud, I can now tell you my experience -- in case it helps.
First, I am an Israeli non-resident with no kupat cholim. I was previously in Israel Pesach time so I had a serology test (just 1 week shy of 6 months old) on file with the Ministry of Health. And I also have a green passport.
Prior to departure, I completed the entry survey and was sent a confirmation email from the Ministry, and then a follow up PDF a few hours later that said I was arriving from an Orange country and would need to be in bidud for 14 days. On the survey, I completed it noting I had "recovered in Israel" since I did have a previous serology on file. That didn't seem to make a difference in terms of my bidud timeline.
I booked and prepaid for a PCR and Serology on the App. The process after the baggage control is quite fast -- lots of people getting tested, but also lots of stations taking swabs for the PCR. After the PCR (collected at approx 5pm), I was told where to go (at the airport) to do the serology. The Serology is done as a point of care test -- meaning, you can wait (or if you prefer to leave you can too) 20 min and they'll provide you with the results immediately. That positive serology result was texted and emailed to me.
I did not receive the negative PCR result until 10am the following morning. Now that I had both the positive serology and negative PCR, I called *5400. Shockingly, and unlike at Pesach, there is now an option for an English speaking agent *and* an English speaker will actually pick up the call!
The agent confirmed that I had taken the serology and PCR and then asked me if I was vaccinated outside Israel. I told her I was, and she asked when my last shot was. I told her the date. She then said, this call is being recorded, I need you to state your name, ID number, and confirm the date of your last vaccine. I did that. She then warned me that lying would be a criminal offence. Once I confirmed verbally that I understood that, she said I am now out of bidud. Seconds later I received a text and email confirming the same. I was officially out of bidud by 11am the day after landing at 4:30pm. I should also note that my תעודת החלמה now notes my date of recovery as being the date I landed Sept 19, 2021.