The entire point of doing things the right way is that you end up delivering more value in the long term, and "long term" can be as soon as weeks or even days in some cases.

Business owners definitely prefer less bugs, less customer complaints, less support burden, less outages, less headaches. Corner cutting doesn't make economic sense for most businesses and good engineering leadership doesn't have much trouble communicating this up the chain. The only environment where I've seen corner cutting make business sense is turd polishing agencies whose business model involves dumping their mistakes on their clients and running away so the next guy can take the blame.