Do any primaries have a counsellor? Advice needed re: supervision.

[GnomeOrMistAndIceGuy]

Hi all,
Before lockdown, my Head decided we would benefit from recruiting a school counsellor, which we did. Lockdown then struck which meant the counsellor has yet to begin their role formally as, obviously, no children in to work with. (almost zero key workers and the vulnerables won't attend but that's a different thread!) However, the counsellor offered to provide counselling sessions for members of staff. So far, four or five have taken them up on this and seem really happy with this opportunity.
The problem is, counsellors need supervision; minimum 1.5 hours a month I believe @£65 an hour or so. We are happy to pay this but the Head has now decided that they don't want to pay this during lockdown as the counsellor is 'barely working.' I don't agree and am feeling put out as it'll have to be me that inevitably delivers the good news.
Could any counsellors or schools who employ a counsellor share their thoughts?

It doesn't matter if they're barely working - they need supervision, lockdown or not. Is it the only counselling work they do? If not they might be accessing supervision covering all their practice. If it is their only counselling work they need supervision and they should be well aware of this ethical obligation. I supervise a counsellor who works in two different school projects, by the way.

Thanks, @ilovesooty I appreciate the thoughts.
I think they are still seeing clients privately so perhaps I could ask how they've been paying for their supervision prior to now.
I just think it's a cost we ought to cover as part of taking someone on in this role.