No. "As soon as a miner picks up the transaction" seems like a generic response, and is false anyway, since the stuck transactions do not seem to appear on the network. (All CLAM clients, including block explorers, can see pending mempool transactions which have not yet been incorporated into a mined block). On top of that, since CLAM is a PoS only coin, anyone who has the client open with a balance can mine blocks, so there's certainly no issue with block generation.