Normal for whom? Pros play hours every day.
For me it depends on the time of year, what my schedule and social life is like, etc.
I get into these brief periods of a few weeks every once in a while where I get really focused on pool and if I have nothing else going on, so I may make it out 3 times in a week. If I'm going somewhat regularly (a few times a week) I'll play for around 2 hours. When my schedule gets busier and I'm not playing league I might go once a week or less, again just a few hours, just to to keep things where the should be. When I'm playing league I'll still probably only get out to practice once, maybe twice a week but I'll make sure I go when I have a good chunk of time, 4 hours or more, to get some work done.
If I'm annoyed with my stroke I may spend 3-4 hours on the snooker table then 3 hours on the pool table until I feel like I have things dialed in, but as long as things are going well with my game, I'll only set aside one hour for snooker practice, mainly just to keep my precision up so the pool table looks easy and I have confidence coming to the table. I've actually found that as long as I am active, healthy, and really on top of physical and emotional well-being, I can have shorter and less frequent practice and it's just as productive as spending 15 hours a week on the table.
Note however that I intentionally altered my stance and stroke fundamentals choosing to be more rigid and technical rather than natural specifically because I have a busy schedule where I might have to be away from the table from one league match to the next, and I find that this is more forgiving if I show up to a match after a 10 hour day at work, tired, having not practiced. If I were still playing pool as a more natural shooter, how I originally learned, I'd have to put in a lot more table time to keep myself at my personal minimum performance, although it s arguable my maximum performance could be higher. It's all a matter of compromise based on how you play your game and what you expect.
As far as just overloading on pool....
When I'm having a bad spot of depression I may descend into full pool junkie mode going most days of the week, sometimes spending 12 hours in a pool hall in one stretch without food.
There is pool hall I go to, where for the last year, no matter what time I have gone on whatever day of the week, 1 pm on a Wednesday, 1am on a Sunday, there is ALWAYS this tiny guy in his 60s there just running drills, getting into hilarious smack-talking fights with the young hotheaded players. Even if he's not there when I get there, I know he'll be there by the time I leave. It's just mind-blowing, he has to be there 10 hours a day, every day. I'm not sure what to think about that, considering he's probably not even a C+ player.
I suppose you can just play for love of the game, so the question is what your priorities are, what your potential is, what you're trying to get out of practice. Only you will know if those priorities are healthy and if your practice habits are useful for your priorities