The article says £4k per round of testing. Even just looking at L1 and L2 thats £384k per week at 2 rounds per week. £3m won't fund the season and I imagine Championship would need funding too.
I suppose there's a tiny bit of hope that the need for testing will reduce in time.
It would be inappropriate to think about privately funding vaccine I think given greater need elsewhere. Without knowing costs there's a possibility that would be more cost effective but not immediately effective so still a problem now.