Again, not practical, imagine you have small enclosure, you put switch, adapter and cables are coming in, now with injectors you need to split power and you need to power your non poe switch with yet another adaptor and at the end you have cable mess inside your box.
Also with two devices you need to power two power bricks, and trust me, sometimes that can be a challenge.
Is your concern on price or power outlets needed? If you could utilize a hex Poe with the 48V power adapter then that should be enough to provide power to the device plus the five ports and only utilizing a single power outlet. The price will be higher but you have the power of router OS and managing everything through one device
Sometimes you don’t need the power of ROS, and in this use case simple unmanaged switch is enough. Sometimes you need cheaper and reliable solution, for eg RB260GSP but 48V output
At 50-60 euros RB260GSP would be great and more trustworthy PoE switch. Only if there is 48V version.
Well to answer your original question MT does offer a product but not within your price range so you have to find a product that better fits your needs.
Alternative is to use power injector unit, that can power multiple connections (in/out pairs), such as:
Cyberteam ADAG-4P-D 802.3af/at,
Cyberteam ADAG-8P-D,
Cyberteam SPG-8P-D 802.3af/at, NetProtector PoE 8x GLAN - this is also a surge protector.
Agree, it requires much more space and that can be problem, if the switch should pass PoE-in power, besides ethernet connection, further via PoE-out to APs, and the switch is located in some cramped space.
However, in racks,… dedicated PoE multi-injector might be a viable alternative.