I work for an ISO certified company, our company laptops have specific things for things like firewalls, allowed software, etc. Things for actual security. But no spyware, I don't feel like you need spyware to get ISO or SOC2, just sounds like a ruse to me for a company that lacks trust. Big red flag.
If it's your own personal laptop, then it's your property, they have no right to make you install something on it. If it's their laptop they've given you, then they do. And it's up to you whether you want to work in that way. But as I said, that would sound alarm bells for me.