Software Engineer, Senior Software Engineer in my current role.
Before I set my linkedin status to "open to work" I would get at least one cold one per day, every day. Ignored every single one of them. Amazon started emailing me once every week like clockwork, a different recruiter and team each time somehow.
Now that I've changed the linkedin status it's more like 3 per day consistently. I may reply to like 2 of those per week.
In my work email I'll maybe get 1 random cold email a week from either a recruiter looking to sell a candidate to us, or a company trying to sell us their thing. I ignore them since they're usually not at all overlapping with our field or desires, in the rare chance that the recruiter may be relevant I'll forward it to a manager where it'll disappear in to a void.