As long as there is *any* active new growth, the plant isn't resting, so, to make sure all the buds develop properly, keep up the watering and fertilizing.
Also, I've never seen Catts rest after putting up a new growth but before blooming. Here, they develop pseudobulbs, leaves, sheaths, buds, and blooms in one extensive growth spurt throughout the active growing season, or several growth spurts if they bloom more than once a year. Some will put out new roots just as the new growth is starting, while others only put out new roots after a new growth has bloomed. But when all of that root-growth-bloom activity has stopped for the year (regardless of the season), that's the rest period, not before. Leads developing at different rates just means you'll get to enjoy a blooming season that's spread out over months rather than being condensed altogether into weeks.