Well, there will be always good and bad disadvantages if you just remain silent about you are investing in Bitcoin or let's say you are making money through Bitcoin like trading.
Invest or trade silently without noise the public on what I am doing, is better practice for my investment, trading activities and my privacy, security too.
If people know I am investing or trading Bitcoin, when they meet me, they will talk about it and can create some pressure on me, affect my emotion then decision in investment or trading, it's not good at all.
Privacy and security of my fund and my life are other important things to consider.
Another thing is you could've just shared and enlightened your family about your source of income - they are your family and they will understand you, just explain it simply that non-technical of no knowledge of Bitcoin will understand easily.
The family term is too broad. I surely let my own small family know about that and we should do this to my husband, wife, spouse, but if the family is broader like relatives, I don't do this. Again it is for privacy and security and another reason is I don't want to give financial advice to others and have to be blamed for that or feel myself that I should be responsible for their decisions.