Are you the type who needs it to be immersed and connected to the rest of the Marvel universe?
No...with the exception of DD, I don't currently read outside the XU. However, I do like when there is some acknowledgement that it is a shared Universe as with BP and F4. (I have absolutely sworn off of inter-office Crossover events, for decades...waste of time and money).
Is continuity a deal-breaker for you?
Continuity and/or Lack there-of is a non-issue. I've always been a here-in the-now reader. I like and appreciate when situations and characters change and develop beyond their points of origin. I do have my favourite "eras" but I expect my books to change with the times, not here for the nostalgia, that's what my back-issues are for.
Perhaps you're more of an emotional reader, here for the experience? Or are you strictly character based?
Both. I love certain characters and I like the X-Men as a whole very much...always have. But...I never get too emotionally invested in the story/characters in front of me as I fully understand they are subjected to the whims and fancies of the writers and artists. Either I like/love it or I don't...there is very little room for middling.
Does anything impact how you read?
I will always be interested in a book if I think the art/artist is excellent. I will probably continue to read even if the writer isn't that skilled but I will never pick up a book if the writer or artist is one whom I detest, even if it stars my favourite characters.
Your own experiences or situations, perhaps? ...Never. I separate my real life from my creative escapism. I don't need the product to be relatable in any way, shape or form. I just need it to be entertaining, literarily and visually.
Or, say, other fans' opinions or reactions? ...Never. I depend entirely on my own judgement and interests...it's my interest, my time, my money...no one else gets a say. I may consider someone else's pov but at the end of the day, it has very little direct, personal value.