LPP completed June 8th. Oath invite email came the other day for July 25th. Tracker says oath went to in progress July 14 but didn't show until the 17th.
Edit: also to add, I received an email saying I had chosen an e-certificate, and instructions to sign up for the portal last Friday, so I guess that was a sign that it was getting close.
Oath went as smooth as it can in a 100+ Zoom meeting with people not being on mute. All in all took about 1½ hour where most of the time we were just waiting around for things to start and everyone getting registered. Just downloaded my e-cert so all done!
Worth to mention is that the instructions on how to send the signed oath form says one thing in the email, and the official on the call says another thing.
The email says to send the form with the subject "Oath form for <APPLICATION NO>, <SURENAME>", in the call they say to send it as "Oath Form <DATE>, <TIME>, <APPLICATION NO>" - both may work but I've seen people being confused about that part. I sent mine as instructed by the official in the call and at least that seem to have made it a very speedy delivery of the e-cert in less than 24 hours.
Also, please make sure you're muted, people don't want to hear you burp, sneeze or talk to your family members...