Ah okay, yes the lack of A-level Further Maths will certainly hold you back from applying to many single and joint honours maths degrees. Most of these courses state that having FM on top of maths is a minimum requirement so it's not even about whether you'd struggle or find it boring, you wouldn't even meet the minimum requirements so it's sorta a non-starter really. FWIW, at good unis, a fair amount of economics is also proof-based haha, worryingly little applied economics in econ degrees.
The Imperial BSc Economics, Finance and Data Science doesn't require FM but needs an A* in maths so that's an issue. Warwick's MORSE requires FM, so nope. UCL's Econ + Stats requires no FM but needs A* in maths so nope. The MORSE courses at Southampton and Lancaster both don't require FM and allow for an A in maths, so they're an option if you like their courses. LSE's BSc data science doesn't need FM and only needs an A in maths, would be a very good option imo, 3A's including maths feels like fairly lenient requirements considering how good LSE is. Exeter is AAA/AAB for data science (no FM), Nottingham has a BSc Data Science that's AAA incl maths. So there's still some options available outside of straight econ.
In terms of Business Analytics undergrad degrees, there's not many on offer, it's more of a MSc subject to specialise in after a more general undergrad degree. However, there are still some options like Exeter (AAA) and Bristol (AAA or A*AB with an A in maths).
For business analytics careers, yes it seems to me that business analytics roles tend to hire from business school subjects (i.e. business, finance, management and econ (shouldn't be business school but whatever)), whilst data science roles tend to hire more from STEM backgrounds so maths, CS, engineering, physics and statistics. So if you're gonna do an econ degree, I'd recommend probably going for business analytics careers than data science, even if they're not that different. Although I've even got friends who did a BSc Economics and are now working in data science so it is possible.
Does a maths heavy econ degree rule out quant roles, it depends on which quant roles you're talking about. But in general, the answer would be yes. It's simply because most quant roles (e.g. some trading, quant research, algo, data science roles) will just state that you need a STEM undergrad/postgrad degree as the minimum requirement, so you can't really say oh I've done a bit more maths than other econ people. Also, even the most mathsy econ courses (e.g. cambridge, LSE, warwick, UCL), they cover nowhere near the quantity and difficulty of maths content as STEM degrees do. Often a fair bit of the maths in an econ degree is just further maths a-level content but in an econ context. This is generally why it's good to do a joint econ and STEM degree if you're wanting to go into a quant field in the future, because you'll pass the basic requirement of having a STEM undergrad background, some quant roles will say that they require a STEM or Econ/Finance undergrad so you'd be fine with those but I would say that's a requirement for a minority of quant roles and it's simply not enough to claim that you can code/program as justification for a lack of a STEM background for entry-level quant roles.
One thing though, if you do an econ degree and then get a good business analytics/data science graduate role, then often they'll look past a non-stem educational background as you'll have the necessary experience, so that's good at least.