I don’t see all of these restrictions as being senseless. So they need to be parsed into senseless and sensible.
To start with, hospitals. Obviously you do not want sparks or open flame anywhere near oxygen. Or anything metal near an MRI. Less obvious is that doctors can make some people very angry. And just because a patient is in the hospital does not mean that those angry with him, who might have put him there, are done with him.
Granted, gun restrictions will not keep out somebody who is really angry. So this part needs fine tuning.
Sports arenas and stadiums and gated area of amusement parks. Not sensible.
Private property posted off-limits. This is a common restriction, and pretty sensible. The same with churches, casinos, and child-care facilities. My place, my rules.
Schools and colleges. This should be changed later, based on the experiences of other states, which are fairly new.
Bars are usually not a problem, though many places do not permit alcohol consumption by an armed person.
Government-owned buildings and government meetings. Not sensible. The one exception is for meetings to discuss very argumentative and angry subjects, for which they should install portable metal detectors.
Courthouses or buildings used by a court. This one is still open to argument. Again, mandated metal detectors are increasingly common here.
Polling places on election day. Instead of restricting guns, they should have serious laws against “brandish & display with intent to intimidate”, basically forbidding only open carry, flashing and menacing.
Police, sheriff or highway patrol office or station. Instead of forbidding guns, they should post a sign for a “secure gun check” at the front desk. Authorization should be sought if intending repeated visits.
Excellent point.