A puncture can ultimately cause you to lose control and crash. Modern tubeless tyres are less prone to catastrophic ‘blow outs’ than the old tubed type, so fit them if you can.
Of course you don’t have to deal with punctures. You could take out a roadside assistance policy. Or always ride with a credit card (eftpos is less popular with towies). But if you like fixing things or you’re on a budget you should carry a temporary repair kit and know how to use it.
Many of today’s kits for tubeless tyres don't require wheel removal and even include compressed air bottles.
Note: If the tyre has come unstuck from the rim, a roadside repair is unrealistic, as too much air pressure is required to re-seal it.
Fixing tubed tyres is more difficult because the wheel and tyre have to be removed to patch the tube.
Roadside wheel removal is another challenge. Even with a centre-stand, the front wheel can still be resting on the ground. You could try a block under it but you might struggle to get the stand deployed. Lying the bike on its side is an option (if you don’t love your bike).