I've grown catts in peatmoss & perlite for years without any issues. You say the plant is healthy looking and blooming to boot. I would say this catt has adapted quite well in this mix.
If you're not used to growing in this mix, then its just fear of the unknown.
I would not repot and risk the blooms since the orchid is healthy. Just becareful of the waterings (alittle goes along way) and keep it fanned, keep the lights nice & bright just the way catts like it.