I find it interesting that you can get the mobile carrier from this. The first thing I pictured was a voice phishing attack: "Hello, this is T-Mobile, there's a problem with your account..." you get the gist.
Not much different than looking up someone's whois and pretending to be GoDaddy.
For example the Giffgaff network is carried by O2, and a UK landline rented through Twilio appears to be carried by Jersey Telecom.
Re: a Twilio UK landline number coming up as JT, as you're probably looking at the results of a SS7-MAP command that returns the SMS routing info for a particular number, in this case it's likely that JT look after the SMS side of that number (routing for voice and SMS and the networks themselves are generally quite separate).