I can only speak from personal experience, but all my messages are tailored. When I do get a reply, I'd say only around 50% of women look at my profile before replying. For the rest, the message is good enough to get started.
It's clear that all messages need to be tailored to expect a reasonable reply rate; otherwise the woman has no way to tell you've put in any effort (so it might be copypasta spam). That doesn't mean that women are replying to unsolicited messages from men who they wouldn't even swipe right on.
> I'd say only around 50% of women look at my profile before replying.
How do you know? What app are you talking about? I estimate that >95% of women on mainstream apps look at a guy's profile before replying to a message.