A&A at HL is certainly much more challenging than A&A SL and usually students very good in maths aiming for degrees like maths, physics, engineering etc do it. It would not be necessary for Economics and would take up a lot of time which could be better spent on other subjects.
A&I HL is also challenging in several topics.
Generally, A&A involves much more pure mathematics whereas A&I involves much more statistics, and the difference between the two is quite marked.
A&I SL seems to be the choice for students who will not need much maths for their degrees. If they had a choice, they would not be doing maths at all, but have to because it is compulsory in IB.
A&A SL seems to be the best overall option to me, with one non-calculator and one calculator exam paper, and is more mathematics oriented rather than statistics oriented.
Does your DC enjoy maths? What result are you expecting in GCSE?
If after very careful consideration your DC decides on IB at this school, there would be two choices regarding maths. Either do A&A HL to meet certain Unis' requirements, or find alternative Unis which accept A&I SL.