Don't worry about what age other people's children grow out of a seat, look at your own children and their centiles.
According to Margaret at Rear Facing toddlers:
At 41cm from the bottom the Minikid's highest harness slots are 4cm higher than the Move's 37cm, but the Minikid has a bigger headrest which comes down over the shoulders more, so they are both outgrown around the same time, when the torso measures around 43cm bum to shoulder.
https://www.facebook.com/media/set/?set=a.1201859009957946&type=3
She also has photos of her youngest son in the Minikid here when he was just outgrowing it - she says he was 126cm tall and 23kg, 6 years 7 months, but also high centile. So even for higher centile children I think outgrowing at 5 is quite unusual - possibly what they meant is that they did not want to RF any more, or they found the seat annoying, or possibly they even assumed it was outgrown when it was not.
https://www.facebook.com/media/set/?set=a.1296836993793480&type=3
I can only concur with others and say it's absolutely your choice and I think both a HBB or Axkid Move would be totally reasonable, safe choices. If you could make the choice in a vacuum and nobody else would have an opinion on it, think about that and make that choice - I think opinions can be SO strong in this area, and it really doesn't help.
Personally I'm a bit unusual among the car seat crowd because I'm not a super-mega-fan of rear facing. I absolutely think it's valid and the safety benefits are real. I would fight to have RF access and info made more accessible because I think it's important for people to make an informed choice. I think the majority of the reasons that people cite against it are actually based more in their familiarity with FF than any real objection to RF - for example there's really nothing that you can do FF that you can't do RF, so the boredom argument doesn't make sense, there are comfortable RF seats so the comfort/legs argument doesn't make sense, I think people in general have more tolerance for "faff" in their seats when it's something familiar plus are biased against when it's something new, which is why they seem to think RF seats are hard to install but FF seats (e.g. with top tether) are easy. Likewise, many kids protest against being strapped in, but because we know they need to be strapped in, we tend to go "oh well, suck it up" (and they do largely get over it once you start moving) but if they protest against RF, well it's because they don't like RF. (I've seen this with my husband in particular!) BUT I don't think everyone should be forced to RF, I don't think it's right for everyone, I think a lot of people don't actually like RF, I think the car sickness, driver distraction argument is valid and I don't think we should be minimising ALL arguments against ERF because sometimes it is expensive, it is a faff, it is less preferable (if safety were taken out of the equation).
I think there's a space for "good enough" and not always "as safe as possible" and raising the minimum bar, rather than quibbling over tiny differences in the safety of children who are already, statistically, extremely low risk. Other people will have their risk tolerance in a different place and I think that's OK because I think there is space for different approaches in the advice/info sphere. But I do think people should have all the info to make the decision that's right and I will challenge assumptions that I think are based on incorrect info.