The head of Illinois’ judicial branch on Thursday warned that the effects of a proposed $34.5 million cut to the courts’ funding won’t offer much relief to the cash-strapped state.“The services that will be lost will cost far more than the savings that may seem to come from the reuse of our budget,” Chief Justice Lloyd A. Karmeier said.The court has received $344.8 million from the state’s General Fund each year since fiscal year 2015 — the last time lawmakers and the governor …