Kenwood ProTalk Battery Question

I am looking at getting a pair of TK-3302’s to pair with soon to be purchased Autocom (Kit L-IW) for my motorcycle. I am looking to bike power the radios and Autocom responded to me that they only support the TK-3301. Autocom pat num is 2342 info here (PDF)

So my question is will the false battery pack made for the 3301 work on the 3302? I saw a UK site selling the same battery replacement # for both radios. of course when I do get the radios it will be from here (Danny). Or would this be possible by other means and how I could accomplish it.

Thanks for helping,