Short answer: No. In Jain cosmology, kevalins (omniscient beings) are not a one-time event of a single utsarpini; they appear in each half-cycle (utsarpini and avasarpini) at various times as souls attain kevala jnana. So the idea that there would be “no kevalin in the next utsarpini” conflicts with the traditional view.

What this means in simple terms:

• The time cycle is split into two halves: utsarpini (ascending) and avasarpini (descending).
• In every utsarpini, there are moments when a soul attains kevala jnana and becomes a kevalin. There can be more than one kevalin over the course of a half-cycle.
• The spiritual emphasis of kevalin is the same across Jain traditions: complete omniscience, liberation, and teaching others.
• Differences between Digambara and Śvetāmbara traditions mainly concern details of how narratives are described or dated, not the core fact that kevalins occur in the cycles.

If you’re looking for a precise doctrinal statement or verses from specific scriptures about kevalins in a given utsarpini, I can help summarize those from authentic Jain sources.