PS3 Hen and Trophies

After many years, I decided to bring my PS3 back to life and installed HEN so I could replay all my favorite games again (the Resistance trilogy, Killzone, God of War 3, and all the games that unfortunately never got remastered for PS4/PS5). Along with those, I also want to play many games I had never played before, so I don’t have the trophies for them.

The question is: how can I play and sync my trophies without getting my account banned? My idea is to play offline with HEN enabled and then, from time to time, sign in and sync my trophies without HEN. But is that actually safe?