personally, i havent tried her ap, doesnt seem that attractive tbh, reckoning stacks the same with ap or ad and her passive and E benefit more with atk speed than pure ap... also the splash dmg on her E is based on the dmg u deal, so building ad also scales it, u would have to do the math to compare ad vs ap scaling (im lazy lol)... her ult doesnt scale with anything but u can get more out of it if ure ad or on hit due to invincible sustained dmg... if u build her ad she is amazing, with a little CDR u can keep ur E basically all the time and having a slow, a heal+speed buff, a dmg amplifier and that godly ult on an ad carry is not a bad kit... if u time your ult correctly, u can literally destroy any other champ 1v1.... on hit is really fun, ive always liked atk speed builds, kayle has 2 innate on hit procs so building on hit is viable but on hit builds tend to fall off lategame, u dont dish out enough dmg for ur squishyness.... the main drawback i see with building her ap is that ur dmg amplifier is also ur only nuke... ap will have better heals and a little more dmg out front but nothing to follow it up properly....
thats my opinion anyways, hope u found it useful 