Propagation delay in asynchronous counter
It is simply a matter of can you wait for the final output stage to settle before taking a count reading. In which case you build in the sample delay with hardware or software.

When you gate/stop the count to measure each stage in parallel then synchronous counters are better. There is still a minimum wait time before sampling but it is much more predictable, as the wait time applies to the entire counter.

If it is just a 'pre-scaler' used to divide a fixed high frequency to a lower frequency and it runs continuously then there is no delay issue. In a way the count of any one stage is unknown and has a "don't care" policy.