So which company is the most open-source friendly provider of FPGA chips these days?
FPGA tools allow a lot of customization if you need it, what difference will it make if they are fully opensource? FPGA chip design isn't opensource anyway
Some FPGAs features are only available on yearly paid subscription. Also, the license is very restrictive, publishing benchmarking is not allowed, therefore, there is no public information on how to chose a computer to have faster synthesis.
Other than solving those issues, an open source framework enable the researches to search for newer place and route algorithms; enables new HDL languages to target the actual hardware instead of using verilog as intermediate language.