We might be talking about different forms of electronic elections. What I am talking about is remote electronic voting, when people vote from home using a website or app.
> If you count 1000 people entering and 1000 total votes that doesn't mean 1000 individials voted.
This means that if someone wants to vote 10 times, they need to come 10 times and hope that no election monitor will be surprised by seeing the same person 10 times. If you want to add million fake votes, you need to recruit 100 000 people voting 10 times each, you need to bribe thousands of election staff to let them vote 10 times, basically you need to involve a whole army of people and hope nobody notices nothing. Of course it is possible to find 100 000 corrupt people, but it is difficult to hide such large-scale operation.
For comparison, in electronic voting all you need is to have one patriotic sysadmin willing to enter fake data to 'save the country' from an undesirable candidate. The barrier for large-scale fraud is much lower.
So, basically with electronic voting election fraud requires corrupting less people and it is easier to hide.
> Additionally, if you have 1000 people entering and 1050 total votes; which 50 do you discard?
You nullify results at that polling station as the winner cannot be reliably determined.
> Also, you don't need to "trust the government" (aka your neighbors) you can volunteer yourself to be a poll worker at your local elections to see how things are done or you can run to be on the board of elections in your local government.
How can you be a poll worker in electronic elections? In my country typically the code and procedures are developed by a contractor or governmental organization. The code is not always even published. The best you can do is be an election monitor, but they have very limited tools in case of electronic elections, like observing stats on count of people voted. In contrast, election monitor at paper voting can see the whole process with their own eyes.