There's certainly a market for the old 'safety' razors as well as straight razors. The 'safety' razors of course require blades, but they still generate less waste than modern cartridge razors. Straight razors require maintenance (keep them dry; strop; sharpen very occasionally), but generate even less waste, and last well (I have one from the late 1700s).
I switched to a safety razor about 10 to 15 years ago. In that time I've bought two of them (one broke). All I need to buy are the safety razors which are cheaper and use less packaging. It's a win-win. Those fancy cartridge razors from the likes of Gilette are scam!
I'm referring to non-cartridge 'safety' razors though. I don't know a good way of referring to this class. Many of these are DE (double-edge), but there are some SE (single-edge) types as well. Razors which are not straight razors or cartridge razors.