Bitcoin is secure for most purposes, but since all transactions are recorded on a public ledger, they can potentially be traced. Monero focuses on privacy, concealing the details of a transaction-the sender, receiver, and amount. This makes Monero very popular for anyone seeking to conduct private transactions, however with this level of privacy and anonimity you will also raised a suspicion that people who use monero might use it for something illegal. On the other hand bitcoin is also working on its privacy with updates and second-layer solutions. In the end, it depends on your priorities: if you are mostly worried about privacy, Monero might be a better fit; if you would prefer a widely accepted and open one, then Bitcoin is still a good option.
One of the things that makes people pick intrest to invest in bitcoin is because of the privacy so they believe so much that bitcoin will provide maximum security and also protect there identity of investing in bitcoin and with the help of public ledger you will be able to trace a particular transaction and it actually a good thing because very single details about that transaction will be known so is it not better so times because when someone is sending to you it can easily know when it will confirm when you check the mempool. Monero Is a good privacy coin to buy but sometimes I feel is people that do some criminal act are the once's that seriously love Monero and I love the way the system is designed and anytime anyone can do some checkings, and what you said is true there is no way you will use Monero that people will not suspect you of doing something shady and I don't dispute that fact some times because majority of you protect there transactions thay way are those that actually do laundering if they want to look into those case seriously.