Yes that is how it is supposed to work, but I'd recommend reporting ingame more as it means its easier to track when/where a player was at the time of the report if an issue happens. Also using '!report player reason' ingame is hidden from other players so no-one will know if you report them which is a big bonus to us to get a demo.
Tl;dr : use the ingame !report - its better
Ps: Emilia-tan is best waifu, Rem is just a potato. #spoilers