The Israeli numbers are largely backed up by multiple sources within the country: both media organizations and different governmental organizations. Historically, there are some names that aren’t published as a matter of public policy (pilots, military personnel in classified positions, same stuff you’d see from any other western country).

Hamas 100% include their armed members. The hospital blast was for sure not 500, but I haven’t seen any follow-up numbers from that incident. No clue if that is included in their running totals.