You still need to plug it in, so not really “mobile”. And iirc those thunderbolt 3 enclosures hit a bottleneck so you won’t be getting the best from a 2080ti anyway - more like a 2070 would be the best worth running.
If you wanted a “portable” PC you would be better off building a microATX PC to actually be able to use a 2080ti
I also have an ITX build that would fit a 2080 TI (currently it is equipped with a 1080 TI). Using the A4-SFX which has the size of an external gpu - but also fits the cpu.
Some considerations are still necessary. So it e.g. is limited to cards with a width of 2 slots. So e.g. founder edition NVidia cards fit, many custom cards don’t though.
And the cpu cooler is also limited in size - so it is best to use 60W cpus to keep the system silent.
That sandwich design where the gpu is connected to the motherboard with a riser cable, so both cpu and gpu can face outwards is quite nice. Nowadays a number of cases exist with that design, think the A4-SFX was actually the first one.
eGPU and ITX builds have the same size, but a notebook+eGPU is not only mobile in the sense that it can be carried around but that it can actually be used while traveling. And it comes with a monitor and touchpad included. Sure, one can upgrade an ITX build with a 15" hdmi monitor and even a UPS. But desktop components aren’t optimized for power consumption, so it wouldn’t run long and ITX case+UPS+monitor becomes unwieldy.
So short (all imho):
If you want a stationary setup: Buy a normal ATX case, it offers even better cooling performance and full choice regarding components.
To have a system that can be moved around easily but isn’t strictly needed to be used while traveling and where a power supply and proper desk is available at the few places where it’s usually used: Buy an ITX sandwitch build - the optimal “lan party machine”
If the system should be used on the run for working and perhaps light gaming but a more powerful GPU is needed at home (e.g. for VR), then a notebook+eGPU might be an idea. Advantage over gaming PC and separate notebook: All data is always available.
If the software on the gaming PC and the notebook is almost mutually exclusive, then I’d think about a desktop PC (ATX or ITX depending on mobility requirements) and a separate notebook/tablet for full flexibility (and not overpaying on the notebook side if no gaming features or fast, power hungry CPU are needed there, really optimizing for mobility there).
I currently have the last variant. An ITX build, because I sometimes use(d) my PC at friends places for lan sessions (before corona…). And a tablet PC for mobile use and drawing. (And a mac notebook that is purely used as a “don’t touch” part of my mobile music setup, but that’s probably a little special)
the problem with buying the egpu listed above is that for around the same price you can get a RTX2080 laptop and the performance difference (because of the thunderbolt link) would be minimal - but actually this setup costs even more because a laptop with thunderbolt is also $1000
if you actually want to use a 2080ti without a massive bottleneck you need a full sized pcie slot
I can’t think of any situation where the egpu wins, it doesn’t give any extra performance but costs way way more than either a gaming laptop (which you can use on battery) or a portable desktop
Used the Razor eGPU case to connect to my laptop via Thunderbolt cable.
It worked but given the size and weight of the enclosure I went with a mATX case build instead eventually.
There were also performance loss compared and the mATX Ryzen build has been great once I put the CPU on a AIO Water Cooler. I was using a Gigabyte RTX 2080 GPU - still am but now in the mATX.
eGPU if you go that route - requires a decent CPU and eGPU case with minimal extra USB peripherals - don’t try to run drives off the same Thunderbolt port as the eGPU or have the display loop back over the connection, keep the signal as tight over Thunderbolt as possible and even then you might experience micro freezes. I don’t think there has been any significant Thunderbold spec upgrade over the last year that would give the headroom to do this and have same performance as in a desktop system.
Thunderbolt 4 afaik always offers 4 PCI3 lanes while TB3 only guarantees 2 lanes (some still had 4 lanes). So it’s getting a little better. Still not 16x PCI4. But it will probably still take some time until GPUs actually make use of that bandwidth…