Nope. I take a lot of taxis for work, usually to and from airports, and when I travel Outside, almost anywhere Outside, I get to take Uber or Lyft. There is no comparison in service, they are different products that both provide rides. I prefer using a smartphone to arrange a ride: it tracks the drivers, payments, destinations, and lets me know arrival times and costs ahead of time with fairly good accuracy. Cars are new and drivers are friendly.
With cabs, who knows what I'm going to get? Maybe calling 15 minutes ahead is sufficient, maybe I need an hour. I can count on the car being old junk and the driver being colorful. Sometimes that's fine and sometimes it's gross, like when one driver was cleaning his teeth with is tongue and lips (after taking out his teeth.) He was a character though and was funny. YMMV.
I just want a choice and am happy Alaska is one step further from being a third-world colonial state.