It probably is a bit better, because the low score for the Every Stage is lower even than the very cheap teamtex/nania seats. However the Elevate has not been through an independent safety test, so it's not possible to say for sure. I will say that this seat is quite a lightweight/basic seat, and it doesn't get a fantastic fit in most cars.
If you're looking for a 123 seat on a budget I'd personally put a little bit more in and look at the Britax Evolva. But if you can I'd see if you can take her to somewhere that stocks it and try her out in it before you buy, as the harness doesn't go up as high as it does on the Joie seats and if she's over 1 metre tall she won't have long in the harness (but maybe long enough to get to 15kg.)
Just having a scout through ADAC results since 2015 for 123-type seats that performed better, discounting impact shield type seats (since they tend to perform better in these tests than in real-world crashes) - smaller numbers = better. 6 is the worst and 1 is the best. There are not a great many simply because 123 type seats do not perform that well in general. Unfortunately all quite expensive, except for the Evolva and i-max.
Joie Every Stage - 3.9
Joie Every Stage FX - 3.6
Maxi Cosi Titan Pro - 3.0
Team Tex i-max SP (AKA Disney i-max, Mothercare Advance, includes isofix versions) - 2.7 - NB I'm not sure I would trust this brand more than Britax, certainly.
Britax Evolva 1-2-3 SICT - 2.7
Recaro Young Sport Hero - 2.6
Britax Advansafix III - 2.5
Britax Advansafix IV - 2.3 (This is the only one to get a "Good" rather than "Satisfactory" for safety)
Another option would be to just put the seat rear facing again? I appreciate it doesn't have that much space for the legs when rear facing so she might not be very enthusiastic but many children don't mind and even find it exciting to go backwards.
If she is too tall for a standard 123 type seat, she would be tall enough for an i-size booster seat - there's only one on the market at the moment but it's very good (BeSafe izi Flex fix) although also very expensive. It might be a better investment than a standard 123 seat though, because you will eventually need two booster seats anyway.
Or you might want to look at the Joie Bold, which can harness forward facing up to 25kg/about 125cm (but uses top tether) and converts to a booster seat after that. You could hand it down to your youngest when you hit the point you no longer want to rear face and the eldest can go back into the Every Stage as a booster.