The point is whether they are less secure than paper ballots. Is it more trivial to tamper with these machines change/destroy valid paper ballots in a similar situation. I think the machines are put in a secure location when they are being use and the time between election and counting
"the time between election and counting" - This is of course quite critical , from what i know of India, in certain parts of the country - ballot stuffing of paper ballots was very prevalent. EVM's at least preclude that possibility.