I have not ridden AXS.
I have Di2, my kids have it on their road bikes.
For me di2 (I have had it for about 5 yrs) is fine, but not important at all.
The downsides are:
the wires are extremely delicate (but most normal people will never touch them). But if you do then you really should use the tool.
if the part stops working then you need to have the ability to diagnose, most easily using done by swapping out with other parts (although this applies equally to both di2 and axs).
Battery is normally hidden in seatpost, statistically it WILL go wrong around 4yrs. It is a pain to get to. (AXS is nice an easy – although battery falling off is a known issue with AXS).
If you let your di2 battery go flat it is difficult to bodge something (front mech is supposed to die first – mine did – but rear stopped only 5 mins later). AXS makes this REALLY easy.
junction boxes – they go sometimes – they are normally around your BB. So needs crank removal.
di2 parts are available new and secondhand.
di2 battery lasts LOTS longer than AXS.
I would get AXS because of the lack of cables, joins, easy battery access, battery swapping, simple lever config (di2 can be configured in a similar way though).