A few items -
Something is amiss. To Yannish's points -
Is the trunk a peer trunk or a register trunk?
If a peer trunk, then the trunk status will always show green (registered).
If a register trunk, then it depends. When 3CX sends the register to the provider, there may be an expiry header/request. This is the time period that 3CX is requesting that be allowed before the next registration occurs. The provider can elect to accept the requested expiry or enforce their own as they may want to do this in order to prevent those that might think it needed to register every minute thereby causing unwarranted traffic. Now then, once the register period has been agreed upon and established, neither side is expected to contact the other until such time as the expiry occurs. In essence, if nothing else occurs in the meantime, you could literally take the connection down and neither side would know, 3CX would show green, and both would think the other to still be available. Only when a message was sent from one or the other and no response was received would the issue come to light.
Calls and registrations are independent of one another. A call starts with an INVITE and is only sent when the registration is thought to be active if using a register trunk. If not registered or no response, the call will not be sent and depending on the arrangement, the provider may forward to a disaster recovery number, send to the provider's voice mail for the account or provide the caller with some indication that the call cannot be completed. The actual message is the one provided by the caller's carrier and how they see fit to interpret the reason code. If a peer, the call will be sent anyway and the call will either timeout waiting for a response or will receive the response and react accordingly. If a timeout, then the same handling should be done by the provider as that for no response above.
A REGISTER is merely a request to let the server know that the PBX is there, how to contact it and when a new REGISTER is expected. The same happens when a phone registers to 3CX. Once done and accepted, then everyone can rest easy for awhile and not clog the networks with extraneous data.
It would be helpful to post the same captures (sans any public IP info or other sensitive) so that we can see what the messaging is doing or not.