[gfv]

No, relatime applies to how often atime is updated, while lazytime controls how often all three file timestamps (atime, mtime and ctime) are written out to disk. They are orthogonal: you can have strictatime+lazytime to have accurate atime tracking that generates no disk IO on reads. The downside is, of course, if your system crashes, the non-persisted atimes will be unreliable.