I think it will vary route by route. For example, there will be pent up demand from wealthier people who have money to spend to get where they want to go and are desperate to have a holiday. So routes like the Caribbean, Florida, Maldives, Mauritius and the Seychelles may see higher prices due to this demand. Equally there will be routes that BA need to keep flying to maintain their commercial contracts in the longer term (NYC, SFO, LAX, HKG, PEK etc), but these companies will only be booking last minute when essential, so you maybe able to get cheaper prices if booking in advance to ensure flying with a decent load factor.
Another factor will be how IAGs liquidity looks. If they need to get some extra liquidity they may decide take a small long term hit to get money in the door now.