I think it depends on the manufacturer. I have a Honda reaching higher mileage and it's a CVT and I love it. Never had one problem with it.
Also, I think this is one of those things where CVTs came out, there were a bunch of problems that popped up in the first 3-5 years with different manufacturers, and now those problems are largely fixed but it left people feeling apprehensive around it. Honestly, I think this CVT ICE car is going to be my last gas car anyway. It'll probably last me another 5 years easily and by then there will be even more options for cheaper EVs in the US.
There are multiple class action lawsuits and settlements with Nissan over their CVTs. My Versa with a CVT started dying around 70k miles. It had all its scheduled service. I brought it to a Nissan dealer, and paid for a transmission inspection, and they said it was totally fine, even though I regularly experienced it failing to shift (or slide, I guess) between gears while accelerating. Around 90k miles it stopped switching out of 1st gear while I was 400 miles from home. I brought it to a family friend mechanic, who showed me that the transmission fluid plug was covered in metal shavings.
CVTs, at least from Nissan are a black box. You can change the fluid, you can hook it up to a computer, but that's about it. There's no fixing them. When it's done you have to replace the entire transmission. I limped the car another 50 miles to a dealer and traded it in for a Chevy Cruze. I looked it up, and I was the only year model not to have a class action yet. Later there was, and I think they settled for a 500 dollar voucher towards a new Nissan. No thanks.
What do you mean by this? My two cars both have CVTs and they have been great (not Nissan though). Together, they have about 500,000km on them