mod note: @Treebee, Ive moved to 'patching' , as this seems mainly " Can I ...."
Is this doable with the Axoloti
yes.
sure the axoloti has GPIO , so can drive an oled, buttons/knobs, and also both USB and MIDI DIN input and output.
it has modest CPU and amount of memory (see specs) , but if the design is carefully done this should not come into play too much (midi 'juggling' is not particularly cpu intensive)
but I suspect that, 'is the hardware capable' is not really the question...
rather its down to how long would it take you to make this!? is it easy?
thats an impossible question, as it rather depends on your skill set... do you have DIY electronics knowledge? do you have previous patching experience? C++ experience? midi experience?
you don't need any of these, you can learn along the way, but the more you need to learn, the longer it will take.
I'll be honest here, if you are dreaming of a sequencer of the complexity of an Elektron (I dont know the Zaq), then thats a lot of work, its taken Elektron a long time (thousands of man hours) , and they are professional software and hardware engineers , so no dummies.
but if you have realistic expectations, not only of Axoloti , but for yourself (time, commitment etc) , then you can build a custom sequencer that suits your needs, and works the way you want it to.
so my advice is go for it, because it'll be fun to do as a project, and you might learn new things along the way, and end up with a sequencer you know intimately, and so can continuously tweak to make perfect for you.. if that doesn't sound like fun - then perhaps this is not the best route for you.