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~LTC and DOGE are basing on the price of BTC so if BTC go down so these 2 will be too and worse if some whales won with a huge amount then your profit will be lost too in an instant.
Not only LTC and DOGE, all the altcoins are basing on the price of bitcoin, so it's not wise to choose altcoins if you are investing for long term since when you are investing in a casino, your main purpose is to see some profit and that you also believe that the coin your use in investing is the most stable coin in the market.
I am not saying LTC and DOGE will be a bad choice, you are just going to need a good entry point on those two.
If you are going to check my first investment the price of bitcoin there is at 6k so it's a very good entry point! And the investment itself at Yolodice is just a addition to the profit itself.
But yeah, pretty much agree that almost all of the altcoin are also inclining on the bitcoin price itself. So if you consider investing choose the coin that have lowest risk of dropping and for me that's bitcoin.