June 8th is a date that has been rumored for a while, which originated from a Reddit comment of the 2 un-watermarked trailer screenshots. The title of the Imgur album was "60BEB300" and the leaks were posted 2 days after my drawings.
"60BEB300" in hexadecimal is 1623110400 in decimal and 1623110400 is the timestamp for Tuesday, 8 June , 2021. What makes this particularly interesting, is that these leaked images did not feature a watermark, indicating it could have come from someone "higher up".
June 8th not only follows with past EA Play events (as we know that event is pushed pack), but it also falls on a Tuesday, which is a day in which Battlefield usually uploads news etc. As for June 10th, well...
Summer Game Fest retweeting the "Soon, June, Boom" tweet doesn't necessarily mean anything, but Summer Game Fest would be the ideal place to not only replay the trailer, but to have developers answering questions that will undoubtedly come from the reveal trailer.
This is not a leak - This is just my speculation. But the 60BEB300 thing has definitely peaked my interest, as I know those images unwatermaked have come from someone with more access than most.
If this turns out to be true, it also indicates that nothing was actually moved and all along the reveal was intended for June 8th.