running .exe from Cygwin Terminal, issue with case-sensitive DLL names

Question

Windows 10

Trying to run a win64 .exe from Cygwin terminal in a bash shell:

C:/opt/claymore-eth/EthDcrMiner64.exe: error while loading shared libraries: OpenCL.dll: cannot open shared object file: No such file or directory

However, the DLL does exist and is in the correct place - for proof, I could run the same exe from a regular Windows terminal and it works fine.

The problem is the capitalization of the DLL's file name - the name of that file is actually opencl.dll, which is fine under the Windows terminal (case insensitive) but not fine in Cygwin.

I know I could make a copy of the DLL with different capitalization. But is there a more general solution? Could I make win64 executables, running in a bash shell in the Cygwin terminal, become case-insensitive?

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My end goal here is to come up with a bash script that could run under either Windows or Linux with minimal changes (some executables are named differently, and some paths differ). I have it running on Linux already.