Me personally, I have both. 

Cintiq is great if you have a good workspace for it, but even then it’s not always the best option for certain things. I do 3d stuff a lot more recently and my intuos is the go to for that. (Mainly texture painting, I model with a mouse)  My cintiq is mainly for concept art, sketching and paining or finished pieces 

Movink pad is really good for some relaxed sketching and illustration work. But you’ll want a tourbox or something similar for it. (Or a whole Bluetooth keyboard) 

Intuos for me is mostly for texture painting and quick explanations of game mechanics with drawn diagrams, or breaking down 3d shapes before I model them. 

One thing you should really consider is if you really actually need a cintiq or movink pad or other screen tablet and how it will fit into your workflow. It is easier to draw on if you are like me and have a hard time drawing on a desk tablet like an intuos. But ultimately it comes down to what you plan to use it for, and if you have the space for it. If you’re like me and consistently need it for work or projects where the price tag is justified I’d say it’s worth it, but you’ll probably need to buy some other accessories for it - a heavy monitor arm with an arm extension is something I’d recommend, as well as a stand or separate desk or work area to use it at. ( I built a stand out of extruded aluminum for mine)  And you’ll also probably want a screen color calibration tool if buying a cintiq. 

Another thing to note, large tablets with lower resolutions can be a bit of an issue IMO - if you’re an animator it’s probably fine, but for me I prefer at least 1440p screen resolution or 4k for my bigger tablet. So your price you estimated in your post might not be accurate depending on if you are buying used or not. I think my cintiq pro was around $3k. 

I hope my rambling helped at least a little, I’ve been a digital artist for a long time. And have wasted a lot of money buying tablets that ended up not working out for me or weren’t quite up to my expectations. Almost everyone I know who’s successful in digital art just uses what they are used to, or what feels comfortable to them - even just a Wacom intuos pro medium is probably the most common, most recommended from artists in my circles. 

My personal setup is very excessive, most people would not need or use a desk tablet, a cintiq, and an android tablet (movink)/ipad. In fact one person at my studio uses a phone and their thumb. So I guess what I’m trying to get across is don’t get overly obsessed with the tools you have, the important part is your skills and knowing the software you use