Coin choice will matter even in long run if you consider the price of it in fiat. Imagine you are winning the investment at Yolodice but you are losing the price of your coin in fiat, so in the end, it will ended-up breakeven or a loss.
I agree with this and this is probably my reason why I only investing in BTC right now in Yolodice.
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.