Obviously, it would depend on which country you’re asking.
No idea about the US, but what you’re describing has kinda been done. The PIs were hired for a set amount of time to track some politicians during the day, and were supplemented by freedom of information requests and data from public sources.
Most of the findings were what you would expect (Some parliament members barely came to the parliament, some had days with mostly political activists/lobbing/business magnate). There were a few “out there” examples, as one parliament member was doing grocery shopping etc. Thing is, this method is pretty good to figure out what politicians work for the public and who works for private interests, but it’s nearly impossible to actually uncover anything that’s even skirting on the illegal. A PI can’t wiretap or search private property.
A tangent, but In the same spirit, there’s a crowdfunded lobbying agency called Lobby 99.
During the last month there were not 1, not 10, not 100 but 807 alerts in Israel for missile attacks. Some of them weren’t fired by Hezbollah, and some might have been the same alert in different areas, but that’s still about 7 missile PER DAY even if we assume only 1 in 4 alerts was due to an attack by Hezbollah (side note: during the entire war, about 2,000 missile were launched from Lebanon to Israel, that’s an average of about 6 per day). In addition to this, there were 452 aircraft intrusion alerts. Most of these attacks are against civilian targets.
Right now, there are about 79 thousand people (around 0.8% of total population) who are still evicted for nearly a year from northern Israel.
And just in case it needs to be said - the first attack was made by Hezbollah (on Oct. 8th) and without any provocation by Israel.
Not only is this a situation no sovereign country can stand, but it’s also a violation of the Lebanon-approved UN Security Council’s resolution 1701, that was the basis for ending the 2006 Lebanon War. Hell, just having missiles in the area is by itself a violation of the resolution.
Regarding political reasoning - A war in Lebanon is actually bad for Netanyahu. His interest is a slow-burning war so he can prolong the current situation as much as possible (once the war is over, the pubic will demand an election). In fact, that’s probably the main reason you had “a missile here and a bomb there” and not an actual war.