There are several different ways you could lose bitcoin stored at blockchain.info.
- 1- Hackers break into blockchain.info's servers, steal your encrypted wallet, and then brute-force the password (if the password isn't strong enough).
- 2- Hackers break into blockchain.info's servers, steal your encrypted wallet, and replace the website with a look-alike which then steals your password. This type of password-stealing attack would eventually be detected, but it's impossible to guess how long it would go undetected. You would be vulnerable if you log into your wallet while the attack was still undetected.
- 3- An insider at blockchain.info executes the attack described above. Also as above, the attack would eventually be detected.
- 4- A piece of malware finds it's way onto your PC which targets blockchain.info. The next time you log into blockchain.info (even if you've enabled 2FA), the malware can steal your bitcoin.
- 5- You do not maintain backups of your blockchain.info wallets, and blockchain.info loses your wallet or closes up shop. By maintain, I mean that you need to back up your wallet after each new receiving address is created.
It's impossible to estimate the likelihood of any of the above happening... are there one or more of the above that particularly concern you?
Can you be more specific? Is it that Bitcoin Core is too resource-heavy? Are you talking about malware? Something else?
The only wallets which approach 100% trustworthiness are cold storage wallets and hardware wallets. If you're (like me) unwilling to deal with the inconvenience or cost of these solutions, you'll need to make some compromises...