If I send all my BTC from wallet_2 to an exchange, using 2 independants transactions like this (feature in electrum wallet I can spend fund AND fees from only selected addresses) :
If you are sending coin from an exchange, I think it is important to note that the exchange will know both deposits are associated with you. The exchange may also share this information with others.
If you make two separate transactions, one from each address, then the answer is more complicated. If both transactions are to the same deposit address, and that address can easily be identified as belonging to an exchange, then that is a fairly strong indication that the same person controls both addresses
Why?
I don't follow that logic.
You could have easily told Person A to send funds directly to your exchange deposit address... and also told Person B to send funds directly to your exchange deposit address.
If an exchange deposit address has exactly two incoming transactions, you may have a valid point. If an exchange deposit address has many incoming transactions over time, your point becomes less valid.
If there is an exchange deposit address that receives transactions from many addresses, and those addresses received coin from many distinct entities based on blockchain analysis, it would probably be a reasonable conclusion that the exchange account holder is depositing coin from transactions he signs himself. If an exchange deposit address often receives coin directly from addresses known to belong to other entities per blockchain analysis, there would be a chance the two transactions the OP describes are from two different 3rd parties.
Even if using a VPN, or even TOR to broadcast a transaction, using the same wallet software for both transactions may leave some breadcrumbs to someone looking closely, such as the transaction fee, transaction fee rate, and various flags within the transaction. Sending entire inputs less transaction fees (in other words, having no change) to the same address may also indicate that both transactions are from the same person.