Hi Caspar,
it’s best to have a stable temperature if possible because fluctations tend to result in condensation inside the grow bag and this, in turn, can cause increased chances of contamination. Cooler night time temperatures will also slow down the mycelial growth and give more of a chance for competitor mould to colonise the substrate instead of your Oyster mycelium.
Small fluctuations of 2-4 C should be ok, but anything more than that could cause problems.
Best wishes,
Adam