Yes and no - even latest iphone 13 pro / nexus 6 cameras will produce shots that are blurry in shadows due to aggressive noise reduction or let some fugly color noise pass through the alghoritms. You just need to open any night photo on bigger computer screen instead of just phone.
You have much much better starting point with a full frame.
Of course if you compare a clueless FF user with clueless phone user, phone can win but thats an unfair comparison. You don't invest often 5k into photo equipment and then be oblivious of what options it gives you. And even if you don't actively try to improve yourself, just using the camera will get you there (somewhere) eventually. Its not a rocket science, just keep doing it. That's not a "master" level, more like experienced beginner.
And even in the case of ignorant users, all cameras these days have auto setting which is actually pretty good and you can take final jpegs from it, ignoring the power of raw edit completely. Counter-intuitively, holding a bigger camera system steady for a good shot is easier commpared to lightweight, awkwardly-shaped phone.
That all being said, I will invest into some top-end phone next year mainly due to its camera power these days and convenience of always having it with you, and sharing kids photos with family instantly. No more always lugging around 2.5 kg of Nikon D750 with 24-120 lens and good bag. I will not make technically better pictures with it, but in my case other aspects outweight this.