With up to three wired ports and an AC1200 dual-band wifi, this travel router is perfect for your AP rig!
You will need network for your time machine if you want to do things remotely. You may even need network just to have pieces of your rig talk to other pieces of your rig. In my case, I have a GL.iNet Opal travel router in my [../skyshed-pod-xl5). The two LAN ports on the router allow me to plug in my Mele Quieter 4C and Raspberry Pi computers with an Ethernet cable, so I don't have to worry about their wifi connections. Plus, the WAN port on the Opal can be configured to be a third WAN port (which I've done) so if I need to plug in a laptop or other device, I can do so with a third Ethernet cable. On top of that, there's a wifi network in my POD that I can use for my phone or tablet (or other devices) and then the travel router connects back to the main house network via its built-in wifi repeater. Just like a normal travel router.
Except in my case, I'm using my travel router to travel through time!
You can go crazy with network for your rig. You don't need that much. If you can, run a wired cable from your rig to your home network rather than rely on wifi, but wifi-to-wifi isn't that bad so long as you're within range and have a clear line of sight. The POD is about 125 feet away from the closest home mesh wifi access point, which is an Amazon Eero 6 device. As long as the POD is open, I have no problems getting signal. If the POD is closed, then I need to position the Opal inside the POD on top of the counterweights for the telescope to make sure that they have as clear of a line of sight as possible.
This works for allowing me to connect and do things remotely, but I wouldn't use it for file transfers. 50MB per image at 30 seconds each means about 120 files per hour of imaging. That can make for a lot of bandwidth to move those images later. For that, I use a 128GB UDB 3 thumb drive plugged into my USB hub that I can copy things to as part of a clean-up script in my automation software and then unmount the drive, pop it out, and bring it inside to copy to my image processing computer.