These data together indicate that Islamic banks could see less of an impact in terms of liquidity squeezes than conventional banks in economies where oil is a significant part of the economy. There could be many different reasons that have nothing to do with how Islamic banks operate but the implication could be that Islamic banks become perceived as being more stable than conventional banks.
One explanation for the different impact of Islamic and conventional banks could be that conventional banks are more directly used to recycle oil proceed through the economy. For the most part, this is probably caused more by the respective sizes of conventional financial institutions and historical inertia (the first Islamic banks were only founded in the 1970s and recently were only a source of rapid growth since about 2000).
As Islamic banks grow as a share of the overall banking system (and something to consider in other GCC countries with a larger share for Islamic banks), this additional stability is likely to be eroded and will provide additional impetus for governments to use Islamic banks equally with conventional banks to recycle future oil liquidity. It also serves as a reminder that as market share increases, so will the need for changes (including development of new liquidity management products) to reduce the liquidity risk facing Islamic banks.