Hi @Mia 
Welcome to the Asana Community Forum, and thanks for reporting this issue.
This seems to be happening because Person B is having connectivity issues; when that does happen, Person B should see an orange banner at the top of their screen indicating that connection was lost; so technically speaking they already receive an alert.
Can you confirm your colleague is seeing this banner? If not, since this issue is account-specific, I would recommend reaching out to our support team with the following information:
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URL of this thread (so you don’t have to re-explain everything)
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A screencast illustrating the issue ( Loom is a great app for video screencasts: https://www.useloom.com/
In your video screencast, we recommend that you use a Chrome Incognito window and have your Javascript console open:
Try to include the entire browser window, including URL bar, in the video screencast.
Again so sorry for the trouble and thank you so much for your patience and cooperation, we really appreciate it! Looking forward to your reply!