100K games!!! That's quite an achievement. I am an average club player and I have played about 15K in more than 20 years of playing.
You're pretty much spot on. My average game length is 5 minutes and 7 seconds. lichess tells me my time spent playing is 54 days, 5 hours and 6 minutes and now 15,273 games.
It works out to average just under an hour a day, and I play most days.
Breakdown: 6,157 bullet (90+% are 1+0 but a few 2+1) 7,430 blitz (90+% are 5+0 but a few 3+2) 1,368 rapid (99+% are 10+0) 184 classical (100% are 30+0)
I've also played a small handful of correspondence, chess960, etc. which is why it doesn't quite add up.
You said you don't analyze your games? Is there a standard methodology for analyzing chess games, especially given that everything being discussed here is happening electronically?
I would be fascinated to hear about how people are combining technology with the practice of chess to ramp up their learning efficacy.
Further, you can easily compare your responses during openings to what master level players play and you can also just look at how effective certain opening lines are just for your own games.
Lichess also has an "insights" feature where you can look at all your games in aggregate and ask questions like "how often do I win playing Ruy Lopez opening compared to when I play the Italian opening", etc.
These sites also have endless tactical puzzles which you can practice with.
I guess deliberate practice to improve consists of some or all of these tools plus studying certain aspects such as end games and openings.
I'm too impatient to do any of these which is why I improve very slowly despite playing thousands of games.
Takes roughly an hour on 3 0 controls. There are days when I play 20 and some days when I play none.
Is there a corelation between games played and rating? Probably some but you hit diminishing returns at some point. As Botvinnik said - blitz rots your brain.
Over the years I have noticed some rating inflation on online chess sites. My high on lichess is 2670 and 2620 on chess.com. On older services I never broke 2500 and my highest OTB rating as an FM was 2398.