Per the article, Navantia is doing a feasibility study, which is well short of a CATOBAR being developed never mind ordered and built.
Frankly I would wonder at this point whether Spain could realistically afford the costs of everything involved to make conventional carrier ops successful. Of the western nations, only two have CATOBAR aircraft designs in production and these are the US and France, which among other things means that Spain would quite likely still be very dependent on the US for aircraft anyway, especially since one of the three CATOBAR designs is a different version of the F-35...
There is also the issue of numbers in service and maintaining pilot and crew skills. A single CV is going to provide a capability but only part of the time, since the one carrier will periodically need to undergo training and maintenance cycles. Previous Spanish Armada plans (prior to decommissioning the PdA) had a dedicated STOVL carrier which could get some STOVL ops coverage to at least maintain pilot skill currency by the LHD. However, if the Armada does go to CATOBAR then the JC1 will have no ability to provide any coverage.
Effectively the Armada would need to really have at least two carriers, as well as all the pilots, crew, aircraft, etc. In order to effectively operate modern CATOBAR aircraft, the vessel itself would likely need to be fairly large and also cost several billion Euros for just the ship itself. Looking at the numbers for an Indian order for Rafale M carrier aircraft from this year, there was a $7.4 bil. deal to purchase 26 aircraft, simulators and other associated kit, weapons and logistics support. A single CATOBAR carrier on the smaller side (like a Clemenceau-class) plus fighters to make an air group would likely have a price tag approaching if not past $10 bil.
I am not sure that Spain has really recovered enough economically that it could afford to dump $10 bil. on what could be described as a vanity project.