I suggest to avoid all third-party wallets in which you do not solely control your own private key.
Im using a third party wallet that dont have the ability to give private keys to thier users and im using it for almost 2 years and a half but so far so good . I dont experience any issues regarding on their security or service . Not all kinds of this wallets are bad . Its only up to the users if how he secure/use his wallet . Bitcoin scams usually happen on person to person transactions or on online exchanges but i rarely hear a scam news about online wallets .
I agree with your opinion. the point is that if you want your wallet to be safe don't ever give a private key, don't go into a phishing link where we switch from the original website to the website of the person who is cheating. we must be careful