EA community manager confirmed that
DICE fixed connection issues
!
https://forums.ea.com/discussions/battlefield-2042-technical-issues-en/breakthrough-returns-to-main-menu-after-match-found/13359322?topicRepliesSort=postTimeDesc
UPD May 30: OKAY it work on few days and then again issue returned to all. YOU CAN REPORT IT BY LINK ABOVE. Community Manager is still on that thread on EA Forums and you can help him by reporting problem as he write at the message that marked as solution

lets see

nothing fixed yet

i still receive black screen and return to main menu

Lies.
Still black screens here.

I get black screens every so often now. Definitely an improvement but unfortunately still happening. I can join 3/5 matches launched now

That's would be me before I started complaining here. I could solo coop once every few tries.... Now I can't do it anymore EVERY time I tried.

You should know I've been trying again and again since that post hoping for a "breakthrough". Game is currently open. It's half an hour now and I felt like I've been fooled.

idk why but some players still catching black screens randomly. Before major outage month ago i experienced same issue but reconnected to match thru friend and connected well. Today i played 5+ breakthrough matches and every connection today was successful without black screens.
I'll copy my answer from another topic

Till this day i was able to enter conquest on only 1 server where always 3~5 players waited for game to start. Today EA Community Manager on EA forums updated situation and told that DICE solved the problem. Im now sitting playing breakthrough in 60/64 official lobby. So situation is so much better than it was
Post here if still not works
https://forums.ea.com/discussions/battlefield-2042-technical-issues-en/breakthrough-returns-to-main-menu-after-match-found/13359322?topicRepliesSort=postTimeDesc
If bug still exists for some people that really sux... Especcialy looking at online players count after last outage.

Its not resolved its still happening randomly
Since many many months its also often the case that after a match the matchmaking keeps goin but nothing happens - when i than aborted the search and started it again - match found at once. So theres something not working properly since a long time now

Funny thing happens when the game you like to play is causing black screens but in reality it was your PCIE cable for your GPU melting into the PSU. Good times!

Still black screens here FYI.

Funny thing happens when the game you like to play is causing black screens but in reality it was your PCIE cable for your GPU melting into the PSU. Good times!
I think EA would have replied that this would not have happened if you had bought Battlefield 6.

Still black screens here FYI.
That sucks. You can try
report it to EA CM on forums.
He asks to Enable telemetry and
If possible, record a short video of what happens with the Telemetry ID in-game, and attach it so we can pass along the details for review.

Today I was able to play all the afternoon without any issues, but now EA servers are down and this prevents me from even entering into the main menu

sorry but why should i enable Telemetry and data sharing,is this a phishing try???