What's the general feeling about some of the altcoins that have dropped in value considerably such as TRON, district0x, Cardano and SiberianChervonets.
I've been HODLing these for a while hoping they will recover but their value seems to be getting even lower. With new coins being launched daily, is it likely that these will ever recover?
Yes, it is possible. Moreover some of the coins listed by you have very good chances to leave in top10 the cryptoforeign exchange market. For this reason I wouldn't begin to sell them now when their price is so small.