fascism/national socialism in germany was largely brought about by German Lutherans. If you look at electoral maps of where the nazis won and compare them to demographic maps of lutherans vs catholics in germany, you find that they're basically the same map. Fascism in Italy was a nominally secular movement, and any attatchment to catholicism was ostensibly post hoc due to the fact that italy happened to be an overwhelmingly catholic country. If you look at Eastern European fascist movements (particularly with the iron guard in Romania) they were largely Orthodox if they even had a de facto religious alignment. The Catholic church was also quick to disavow fascism, and this especially bears out if you look at the electoral maps of Germany that lead to the third reich. The only figures i can think of that could be seen as catholic fascists were de Grelle and Franco. De Grelle certainly started out as a Rexist (reactionary catholic monarchist type thing, fascist adjacent but ostensibly disavowed fascism) but eventually ditched that and just became a fascist, at which point the catholicism was basically incidental. Franco, similarly, was fascist-adjacent, but not actually a fascist. The actual fascist group in Spain, La Falange, pretty much did all the heavy lifting and suffered most of the "right wing" casualties in the Spanish civil war, so Franco and his reactionaries could take power, and then the Falangists were more or less tossed to the side.
TL;DR: fascism isn't "reactionary-Catholic", you just have a reactionary view of fascism.