Absolutely. I have a hot wallet on my phone which is pretty much online 24/7. I've had such a hot wallet for years, which I've spent from multiple times a week, and I have never been hacked and never lost a single satoshi from it. It's entirely possible to have a safe hot wallet. However, I am under no illusion that such a wallet is by far the riskiest wallet I own and is by far the most likely wallet I own to be hacked or exposed to malware. I only ever keep a small daily spending amount of bitcoin in it (certainly no more than 0.01 bitcoin as you say).

But the discussion here is about cold wallets. The wallet I describe above will never be a cold wallet. A mobile wallet which only goes online once a year is also not a cold wallet. It might be safe so far, but it is never as safe as an actual cold wallet. I could drive for 10 years without ever wearing a seat belt and never suffer any injuries - doesn't make it a good idea.