Generally no unless I have a lot of contol, which is its own issue since now I might need to replay the game for the missed scenes. I'm generally happy to experience it though the MC
I usuall either default name it or put in a fake name. I don't usually self insert into games like these and if I do I try to at least fool myself by changing the name around a little so I don't feel weird about it.
Never been a fan of self-inserting even in regular games, it just feels narcissistic. I'm playing as a character, I'm not breaking out the going-into-games machine just yet.
I don't play as myself. In a VN, just like in a book, it's a story I'm experiencing and it's not my story, how could the protagonist possibly be me then? If choices are present then choices that fit the character or my perception of the character is my way forward.
I kind of play an alter ego of myself. I always use the same name in games but it's not my real name, I feel like that would be weird. But I do engage with adult VNs very much by getting immersed in the MC.