In the invitation email there appear to be two separate fields where the invitee can respond yes, maybe, or no. However, the first field does nothing other than toggle the button color, while the second works properly. Most people on receiving an invitation will hit the button on the first field and assume it has sent a response.
When viewed with email clients such as Thunderbird the formatting works properly. I've been having issues with replies to calendar invitations, and this may be part of the problem. If it can't be fixed by Zoho this bug report should be closed.