Sadly, it has not recovered even half of the peak since that day. It has been a downtrend for the last decade or so. With Gold and Silver enjoying the limelight these days with new highs, the price of Platinum seems to be crawling at snail pace.
Well, purely comparing Palladium and Platinum like Heaven and earth, if you have time on your side and some capital, where would you park your funds into ?
Could Palladium go to 3000 ? Your guess is as good as mine. However, at around 11,000 price level, Platinum will break out from its long serving .
Platinum's low or support is around 800 level, so buying it now has limited downside but huge potential upside. You can consider parking 1-3% of your investible capital and basically "buy and hold" for the next few years.
If you are more conservative, you can wait for the to be broken first then decide if you want to get in. There is no one fixed strategy, employ the one that makes you comfortable.