Seriously, I think we need to forget about this for now.
Player salaries is every professional sports club's biggest monthly expenditure, by far. So if the club was having cashflow issues it would be them who wouldn't be getting paid. Not club staff who are on say £20K to £50K p/a. They would probably get laid off instead sadly.
Also, due to Ruud's sacking, we've practically found out that payday at LCFC is at the end of the month. If there were staff that have gone unpaid for over a week, it would have surely been leaked to the press by now.