The 1.33 12” and the 1.42 14” (as posted above) don’t have GPU issues due to both a new GPU (which is also Core Image capable) and revised design.Holy crap that's a good looking iBook.
My recent longing for my old 12" PowerBook brought me here. Back in 2012, a friend came to visit and surprised me with a nearly pristine PowerBook 12" 1.33GHz I think it was. Battery worked and it had everything, including max RAM and AirPort. I lived on that machine designing my website, making business cards, using CAD software, etc. for well over a year before a computer repair customer forfeited their MacBook after the cost of the repair. I still have the MacBook but wish I had the PowerBook. I honestly don't know where it went.
If you're wondering, I was able to get along fairly well in 2012 using a PowerBook from 2003. That was at the ragged edge of its usefulness, though. It was losing compatibility with web 2.0 and developers had fled PPC years before so support was drying up. I've heard so many people swear to the performance of PowerPC Macs but they don't tell you that their claims usually requires that videos be in very particular formats or use very particular software and optimization tweaks etc.
It sucked. For what you're looking for, though, I think you've got quite the machine. Yours will likely fly with Tiger. I find that old Macs play quite nicely with the most modern ones. I have absolutely no issue sharing files across my network from my M1 Macs to my G4 mini. I would say my Mac mini is enjoyable enough that I will not plan to ever get rid of it. It kind of has a hard time with any of the major games from the era, including Halo, but otherwise plays Sims and Simcity quite well. It's just nice to squeeze what I can out of it but without the expectation it will ever get online.
You should google the "penny" fix for iBook's as, if I recall, the G4's had a notorious issue with some solder balls or something and I remedied a dozen with a simple shim. I never resorted to the heat-gun treatment nor would I ever.
What a pleasant experience it must be to type on that thing and carry it around. I do hope to hear that you find a source to replace (rebuild) the battery. Look into getting an adapter to put a small SSD in there and expand the storage. It's not really going to do much to improve throughput (it's still IDE) but it helps the battery last, it runs quieter, and you won't have to hold your breath for the inevitable death. Personally, I'm simply going to adapt a SATA drive to my G4 mini because I enjoy the sound of a hard drive clicking and whirring away. I really believe it's part of the experience with vintage computing which is why I am sweating the inevitable death of my Quadra's super loud SCSI drive. If you're a purist, there are still brand new (old stock) IDE drives out there from Western Digital and Hitachi but be sure to buy from somebody reputable because it is just as likely it's a knock-off.
Again, you have quite the beautiful iBook. I think you'd regret if you got bored and sold it.
They *do* tend to have issues with the Hall effect sensor used for detecting the lid has been closed going bad, which causes them to sleep at random. Fortunately that can be unplugged through the RAM door under the keyboard, and doesn’t require disassembly.