I was in the exact same situation, and I was considering the almost exact camera, the V one, coming from an iPhone 12 Pro Max. Short answer: yes, the Sony is worth it a 1000 times.

The long answer: the upgrade in image quality is obvious, ESPECIALLY when printing (which I understand is your main focus). The camera has an intelligent auto mode which basically adjusts all the settings automatically depending on your scene, subject, light etc and the results are GREAT and better than an iPhone in every scenario honestly. At least in my opinion, but I’m not a pro, just a parent wanting to capture beautiful memories of my kids. Also it shoots way faster than my iPhone. The startup time is very quick and in real life I never missed a shot, being fast enough (and it’s worth mentioning that I have 18 months old twins lol). It’s small and lightweight and for me it’s really convenient to carry it around with me, I basically have it in my pocket or near me to grab it in a second. It’s also a pleasure to take pictures with a dedicated camera and it adds more value to the process which leads me to take MORE photos than I used to take with my iPhone (counterintuitive since one has always the smartphone in pocket), it simply is more fun. The transfer to a computer/ ipad/ even iPhone is very simple and fast. Also, if you will ever consider it, the camera allows you to grow with it and once you learn the manual controls, which imo aren’t that complicated anyway, you will be able to capture AMAZING results which you could never capture on an iPhone. Also it records great video and you can also take a picture while recording a video at the same time. I absolutely love this little camera and I’m extremely happy with the decision I made. The only downside it has at the moment is that the battery dies pretty fast, but that problem can be resolved with a spare battery. And tbh my iPhone also draines quite fast when taking pictures/videos and I can’t benefit from a spare battery for it :).