But what I was wondering about is, if you can connect the 8080 interface display panels you use to the Tang Nano 9K 40 pin connector?
With suitable a 40-pin to 50-pin 0.5mm pitch FPC adapter, sure, because they also happen to support the RGB+Hsync+Vsync+Clock+DE interface.
Although there are several with compatible pinouts, I'm specifically targeting
2.8" 320×240 (ER-TFT028A2-4) and
3.5" 480×320 (ER-TFT035IPS-6). There are a few pins (specifically, IM
n) that you want to tie on the FPC adapter to either GND or VCC depending on the display, but yes, they are compatible with the Tang Nano 9k, with a mechanical adaptor board.
Moreover, I do believe the Tang Nano 9k could drive them in the GRAM mode also, not just RGB+Hsync+Vsync+Clock+DE mode. You could even use an 8-bit parallel 8080 bus, repurposing some of the color bits, and make it work at the same time as the HDMI interface. For 16-bit color at 480×320 70Hz, you then need a ~ 22 MHz parallel bus clock. ILI4988 can do up to 33 MHz. 320×240 ILI4931 is specced to 15 MHz, but only 11 MHz is really needed; and all the ones I have can sustain at least 18 MHz without any issues at all. That is for 8-bit parallel bus, mind you; halve the frequency needed if you use a 15/16/18 bit parallel bus. The write strobe runs at twice that frequency, of course; you need to output a pulse per output word.
As an aside, if you compare that pinout to e.g.
7" 1024x600 (ER-TFT070A2-6) with also a 50-pin 0.5mm pitch FPC, you'll see that while they're not directly compatible, you can definitely do a simple adapter to the 40-pin one as used on the Tang Nanos. You'll want to tie some pins to VCC or GND depending on the exact display (including L/R and U/D mirroring pins), but no logic or translation is needed.
If I recall correctly, you said you already had some such 40-pin to 50-pin FPC adapter boards designed? In my opinion, a design that also acts as a carrier for the display module and Tang Nano, with PCB extending beyond the display module with positions for studs and mounting holes to correctly place it with respect to the housing and display hole, would be very useful here. I've made cardboard stand-ins to determine where to put a slot for the FPC and where to put the connector. (You'll want a full flat ground plane without any components facing the display module, and use 3M double-sided foam tape strips (the 2-3mm thick kind, and just 4-6mm wide "strips", not a full plane) to adhesive the display to the carrier PCB.)
Edit: One remark on the Tang Nano 20K 40 pin connector, I found that it connects to the flat cable on both sides, so one can insert it the other way round. Pin one is clearly marked on the board though. Most of these FPC/FCC connectors are one sides.
While the pinout is common, not all display modules FPC cables expose the pins on the same side, I believe. I got dual-sided 40-pin 0.5mm pitch connectors for that exact reason.