I'll be honest. I haven't checked my Google Analytics or Search Console in months. I should probably look soon to see where the majority of my traffic is coming from, but I already have a pretty good idea as most are returning members that I often interact with as we play poker on the same site daily.
When I first started my forum. I was checking my stats every couple of weeks, if not less than that.
I recently installed (for members logged in) a new forum statistics XF addon to replace the standard XF stats for forum home. It provides a nice clean stats block (that I have modified for my theme) with a lot more for the people that like to see those things. Its an XF addon that also provides an additional reports page (I set for admins only) with some interesting charts and functions in it. I check on Cloudflare and Analytics from time to time, but that pretty much is set-n-forget except to review maybe once a month.
I never check my Google search console anymore, but I check Cloudflare Analytics every day, sometimes multiple times a day. I check the unique visitors, the overall hits, and where users are coming from.