Will privacy feature makes your BTC wallet a lot more secured? The answer is no, privacy feature is only useful for those who needs them and that's when they plan to make some transactions in privacy.
Directly, no. Indirectly, yes. Privacy is a factor in security and censorship resistance:
- If someone does not know how much BTC you have, it makes it harder for someone to target you for attack
- If someone does not know where your BTC came from or where it is going, it makes it harder for someone to target you with censorship
I do think that it comes to mind when you do have what to worry about, then privacy is important to a person

So, yes, of course, for many out there, privacy is a major thing when choosing a wallet.