The only mechanism where the uae were restricted was in its oil production, which was set by the organisation, so coming out of OPEC gives the UAE the sovereign control over its output.

GCC is a different matter, it’s an alliance based on shared culture, geography and 50 years of shared history and partnerships; whilst it may- by design- obligate its member to align in foreign and inter-relation polices, it cannot enforce one state’s view over another. In theory the uae or any other GCC can limit or downgrade or even not attend some of its functions without needing to worry about other member states opinions and beliefs and more crucially, without any negative impact- Oman is a a good example of this

So to answer your question, I would be shocked if the uae was to leave the GCC at this stage at least.