- Sending a token always fails.
- Losing tokens.
- Token retrieval with no fee.
if Myetherwallet implementing 2FA might be safer.
Here I do not face any problem with accessing my MEW wallets mate. You should need the ethereum in your wallet to make the transaction of any ERC20 tokens from one place to exchange or elsewhere but I do not know whether you have ethereum in your wallet or not.
If you are loosing the tokens means I think you cannot able to see the tokens in your wallet. For that you need to add the custom tokens with the given steps side by side. If you see that there is no security for MEW wallet you are only looking for 2FA access with MEW.