The panda pau05 is a nano 2.4Ghz usb realtek adapter, the 2nd a 2.4GHz ralink too.
Both are compatible with the Linux kernel, and conversely with Kali Linux. However:
I do not recommend buying neither a nano wifi adapter the range is too low, especially for using in AP mode (the photo of that one does not show an external antena connector).
nor do I recommend buying a wifi adapter with a realtek chipset. They are too buggy, and give loads of problems. see Wi-Fi problems using ASUS USB-N13 adapter
If I am not mistaken, the Detroit DIY Electronics Wifi Antenna also uses a very old ralink chipset.
As for the frequency, you are much better with an adapter that supports dual frequency, either for ethical hacking, AP mode or escaping the terrible noise in residential areas.
As for the external antennas, 2dB gain is nothing special.
For that kind of money I would buy a ralink dual frequency chipset based adapter in aliexpress that is also supported by linux and works so much better. I actually have two and they work quite well. https://www.aliexpress.com/item/YOC-300Mbps-Dual-Band-2-4Ghz-5Ghz-Wireless-N-USB-WiFi-Adapter-802-11-a-b/32773231343.html
Be aware that the recommended chipset for wifi ethical hacking is the atheros chipset, but it will cost more. The linux compatile ones are capable of both doing monitor mode AND packet injection.
So I recommend a dual frequency ralink for price or atheros as the expensive alternative.
I would not buy neither of the adapters you mention.