From my understanding there are a couple things that probably make this a non-issue:
1) Worst case scenario, it only allow you to read the memory of systems running validator nodes. There aren't very many of these (tens of thousands perhaps) and they generally don't store particularly valuable secrets. A small number of them may store private keys to Eth accounts with a small amount of Eth, but that's not typical operating procedure.
2) The EVM doesn't have any internal mechanism for measuring time (beyond existing blocks), so any timing attack within the EVM would require some very clever way of measuring time.
1) Worst case scenario, it only allow you to read the memory of systems running validator nodes. There aren't very many of these (tens of thousands perhaps) and they generally don't store particularly valuable secrets. A small number of them may store private keys to Eth accounts with a small amount of Eth, but that's not typical operating procedure.
2) The EVM doesn't have any internal mechanism for measuring time (beyond existing blocks), so any timing attack within the EVM would require some very clever way of measuring time.