T1's have very few genuinely beneficial use cases in today's world. Back when T1's were going up against dial-up and ISDNs they made sense, but most of their benefits have eroded tat this point.
If you have a traditional on-premises PBX, then T1's are still a very relevant part of a business. Since T1's can be used as PRIs or as Data channels, they offer a lot of flexibility for customers by allowing them to handle both. Keep in mind this sort of capability was a big deal before the days of VOIP. When you needed both data for your operations, as well as voice numbers for call center and offices, T1's and their T3 big brothers made a lot of sense.
Nowadays, T1's make very little sense for the vast majority of businesses, but the connection type persists mostly due to old network admins who don't / won't know any better, and Telcos doing a good job keeping the marketing hype that T1's are the way to go.
One of the big things that people bring up (and Telcos) is SLA, but all SLA does most of the time is protect the Telco from you, not the other way around. Most of the time, it includes statements that keep you locked in a contract, and limit the amount of retribution you can receive when a circuit goes down. It basically excuses a Telco to provide bad service.
The other thing people bring up anymore is that Cable is "Shared" while T1's are not, which doesn't make any sense because while the last mile of a T1 may be dedicated, so are the first several feet of your Cable connection. Whether a few feet or a couple thousand yards away, eventually you end up in the same massive IP equipment as everyone else. Heck, companies like AT&T provision both their T1's, and their U-Verse off the same exact fiber. Why? Because AT&T knows that they can sell T1's per unit of bandwidth for far more money, and they know some businesses won't accept it if it *isn't* a T1, because those admins haven't continued to follow the industry and still believe that a Tx connection is the end-all be-all of connectivity.
And T1s getting repaired quickly? Goodness no. I've worked in a NOC, and our customers will drop their precious T1's all the time. We have *days* old outages at any one time with AT&T, Verizon, and CenturyLink, all in various states of "We really need to roll a truck, but we just haven't been able to dispatch yet". Level 3 is usually pretty good, but all falls apart when the circuit passes through a LEC (Local Exchange Carrier) that simply refuses to act. The Telco has SLA agreements with the LECs, and they'll pursue compensation (on their end) for the downtime, but that does *nothing* to get your circuit back up.
That being said, I do find that our Cable circuits have outages more often than our Tx circuits, but when we do, the outage is usually resolved within 5 minutes to an hour. In my time in the NOC, I've never had circuit that required Telco intervention that was resolved in under 2 hours. Heck, if it is less than an hour, they won't even find out why, they'll just say the circuit "came clean while testing" and leave it at that.
T1s have very specific advantages such as low jitter and predictable latency that makes them a better experience for VOIP services and certain applications that rely on such predictability.
At this point, if you do not require high uptime (think small outages, that could happen a couple of times a year, most Telco's only rate cable up to 95% uptime, not 99%), then Business class cable is a great option. Most applications can run just fine over it.
If you have high upload-bandwidth needs (greater than 5Mbps), or need low-latency variation for VOIP, or need high uptimes, then instead of Tx lines, consider Metro Ethernet. Metro-E is now less than the cost of multiple bonded Tx lines. While a 3M bonded T1 line may cost $700-800 a month, the same cost can get you a symmetrical 10M Metro-E over Copper.
Either way, unless you need predictable latency to remote sites, and only a small amount of bandwidth, then T1s can still make sense. Otherwise, most of its use cases have been replaced with viable alternatives.