Actually, they can’t really object, as you are simply notifying them, not asking permission (for a recreational flight).Pressing a few buttons in AirMap is definitely easier than trying to get someone on the phone (and figuring out who that correct person is), explaining what I'm doing, and hoping they don't object. And of course for Class E & G airports, I don't even have to pull up AirMap, I just fly (just not too close to the airport). This may not be a big benefit to some people but around here there are dozens of heliports and airports that pretty much eliminate your ability to fly anywhere close without a 107 certification.
In the case of Class E airspace, if it extends to the surface , you still need to call for a recreational flight, or get authorization for a 107 flight as I understand it.
I found the following very helpful, especially the video from UAV Ground School shown here: Misinformation and Understanding Class E Airspace | UAV Expert News
As sar104 mentioned, the recreational laws will change as soon as the FAA promulgates new rules to substitute for the repealed rules on model aircraft.