I guess that cAP ax will behave slightly better, specially in uplink direction.
cAP ax has slightly better antenna gain (1dBi better in 5GHz band and 2dBi better in 2.4GHz band). This doesn't necessarily help in downlink: if device is configured according to country regulations, most of spectrum in most of countries comes with EIRP limits which are the limiting factor (it's Tx power + antenna gain). This is actually offset by hAP ax2 having slightly higher Tx power so in DL there won't be any difference (even if country regulations wouldn't practically limit Tx power).
However, Rx sensitivity of both devices is identical. But higher antenna gain does help in Rx direction as well, which means that cAP ax will be able to capitalize this in Rx direction (compared to hAP ax2).
The difference is not that huge, so if most of your house isn't larger than usable range of wifi of either of devices, the difference won't really be prominent.
OTOH family happiness is important and if hAP ax2 has better WAF value, go for it