It is not even "if" they should be funding these activities.... it is whether the public would "support" funding these activities, if there was a trail of deaths.
Just compare X and Blue Sky. There may be some principled leftists who oppose suppressing speech, but in recent times, it has been the left that has been censoring/blocking peoples speech. Another comparison is what is actually censored. Of course there is a certain amount that would be censored by both sides - criticism of power.