Thanks for the response.
In my case I have /content/mycompany/en-us/brandpage where Iparsys is configured and stat level set to 4.
When I activate the brandpage, below is how .stat files are touched
[Tue Oct 10 11:58:20 2017] [D] [pid 15324 (tid 139818969331456)] Found farm XXX
[Tue Oct 10 11:58:20 2017] [D] [pid 15324 (tid 139818969331456)] checking [/dispatcher/invalidate.cache]
[Tue Oct 10 11:58:20 2017] [I] [pid 15324 (tid 139818969331456)] Activation detected: action=Activate [/content/mycompany/en-us/brandpage]
[Tue Oct 10 11:58:20 2017] [I] [pid 15324 (tid 139818969331456)] Touched /var/www/html/.stat
[Tue Oct 10 11:58:20 2017] [I] [pid 15324 (tid 139818969331456)] Touched /var/www/html/content/.stat
[Tue Oct 10 11:58:20 2017] [I] [pid 15324 (tid 139818969331456)] Touched /var/www/html/content/mycompany/.stat
[Tue Oct 10 11:58:20 2017] [I] [pid 15324 (tid 139818969331456)] Touched /var/www/html/content/mycompany/en-us/.stat
[Tue Oct 10 11:58:20 2017] [I] [pid 15324 (tid 139818969331456)] Evicted /var/www/html/content/mycompany/en-us/brandpage.html.h
[Tue Oct 10 11:58:20 2017] [I] [pid 15324 (tid 139818969331456)] Evicted /var/www/html/content/mycompany/en-us/brandpage.html
[Tue Oct 10 11:58:20 2017] [D] [pid 15324 (tid 139818969331456)] response.status = 200
[Tue Oct 10 11:58:20 2017] [D] [pid 15324 (tid 139818969331456)] response.headers[Server] = "Communique/2.6.3 (build 5221)"
[Tue Oct 10 11:58:20 2017] [D] [pid 15324 (tid 139818969331456)] response.headers[Content-Type] = "text/html"
[Tue Oct 10 11:58:20 2017] [D] [pid 15324 (tid 139818969331456)] cache flushed
[Tue Oct 10 11:58:20 2017] [I] [pid 15324 (tid 139818969331456)] "GET /dispatcher/invalidate.cache" 200 13 1ms