My bet is replacing the punctured tube for a new tube would be just as not fun. But think if you had a dyna-plug it might have been as simple as push-pull- go.
Actually, much easier to replace a tube. No sealant to clean out of the inside tire walls and the biggie for me, no stem tubeless valve stem to unscrew with frozen hands. Admittedly, some are easier to take off than others and my left hand is often nearly useless. Once the tubeless tire has a tube in it, they can still be hard to seat. So, cartridges are often used to facilitate the seating of the bead. That is never needed on tubed tires from my experience. In all, I see little advantage and a lot of downside to tubeless.
The dynaplug could be a game changer, though.
When Schwalbe Pro Ones first came out, they were absolutely horrendous. I understand they have fixed them. I used to get slit cuts 5-20 mm along the casing threads and had to boot them or replace the tire. Bad experience. I don't like riding a booted tire 100+ miles from home. This happened almost every brevet or about every two weeks. I went thru 5 of the 6 I bought. Then, I was using Compass Bon Jons. I had like 20 flats in one day out in Wyoming...casing issue. I put 28 mm Conti GP4000si on and rode the rest of the way across the USA w/o a flat. I had one flat last year. So, I'll stick with what works for me. Conti GP5000 with latex tubes, for now.