I have tried putting kz wireless aptx cable modules into headphones (on 32 ohm ones). While it works and sounds great, the battery is just too small. Maybe good for just a couple of hours and that's it. Replacing a bigger battery isn't also guaranteed to help, if the module will just charge for a specific amount of time and will not fully charge it. If you really want I suggest you test it.

Plus, usually you can't connect both gnd/negative of the left and right outs (probably th + side too on these tws). So if you plan to still connect via a trs ended cable, use a trrs jack or balanced connections on the headphones.