And your search engine query can contain your IP address, geographic information, unique browser fingerprint, and your account information if you are logged in. If Google, Apple, Microsoft, or some malicious entity with access to their data wants to identify you, it is likely trivially easy whether through voice or text data.
Oh, absolutely. The difference is that with voice, they also have the potential to identify the people with you, what you're watching on TV, what radio station is on, etc.