Anyone who claims 'absolute puncture proofedness' is just being too enthusiastic.
Tubeless with sealant greatly improves resistance to punctures in general but by no means makes you immune.
When I shifted to tubeless I experimented with a good few combinations and different methods – after the first few air burps running the pressure too low, I didn't get a puncture for nearly 5 years. In the last 4 months on the same terrain I've suffered three episodes of cut tyres. One sidewall that wouldn't repair and two tread area rips, both of which were fixed with anchovies trail side, although one later failed overnight in my garage.
Thorn punctures are virtually eliminated.
One thing that doesn't get mentioned much on tubeless discussions is lightweight tubes with latex added. If all you're bothered about is punctures, a lightweight tube that you can charge with 40-50ml of sealant with still probably weigh a bit less that a standard tube and will be virtually immune to thorn punctures. It might be slightly more prone to pinch flats though.