Could be a bit problematic, depending on the exact use-case. You are running into kind of a reverse situation of this answer I did a while back. The options are similar, but not identical, to that use case:
Option 1: WSL1
The easiest method I can think of is to simply use WSL1, assuming that you don't need any features of WSL2. WSL1 runs on the actual Windows NIC, so if you bind the Windows service to 127.0.0.1 (and, if needed, ::1) then anything running in WSL1 will be able to see it, and the Windows service will accept connections from WSL1 processes as if they were from the Windows localhost.
Option 2: WSL2 with Windows service binding to two addresses
For WSL2, you would need the Windows service to listen on both 127.0.0.1, of course, for the Windows processes, and the address of the vNIC provided by WSL/Hyper-V:
> ipconfig.exe /all
...
Ethernet adapter vEthernet (WSL):
Connection-specific DNS Suffix . :
Description . . . . . . . . . . . : Hyper-V Virtual Ethernet Adapter
...
IPv4 Address. . . . . . . . . . . : 172.18.48.1(Preferred)
Subnet Mask . . . . . . . . . . . : 255.255.240.0
...
Unfortunately that address changes on reboot, so you'll need some way to retrieve it and pass it to the Windows service via config or startup. It can be obtained from within WSL via:
ip route | head -1 | cut -d" " -f3
But this may violate your "need it to operate the same way" rule.
This also, of course, assumes that you can bind the service to two different addresses.
Possible option 3: socat between WSL2 and WSL1
If you look at my Super User answer, you'll see a method to connect a WSL2 instance with a WSL1 instance. The flow here is reversed, since in your case the connection needs to be made from the WSL2 instance to the Windows host. Unfortunately, I'll have to leave the modification of the socat command-line to you for the moment, if you want to pursue that route.