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Apple has seemingly found a way to block Android’s new iMessage app
(www.theverge.com)
This is a most excellent place for technology news and articles.
FYI, SNI is a thing (included encrypted SNI these days) and you absolutely can share an IP among many many unrelated domains.
Domain lookups have a TTL (time to live) and they stop advertising IPs which they'll stop using a little bit before those IP addresses are taken out of rotation. That's why it doesn't break even when addresses keep changing.
Signal have an active incentive NOT to use static IP addresses!
https://support.signal.org/hc/en-us/articles/360007320291-Firewall-and-Internet-settings
Probably not, but you don't need to run the Tor client on the phone, you can run an anonymous proxy and point your phone at it.