Nope - counting bloom filters store an exact count of approximate events. This stores approximate counts of exact events.
If you count 5 "abc" and 5 "xyz" in a counting bloom filter, it will always say you had 10 events, but might say they were 10 of the same event.
If you count the same in Morris's structure, it will never confuse the two different sets, but might say one occurred 4 times and the other 8.
Of course, that means you can combine the two, for the benefits and downsides of both - storing very high (and inaccurate) counts of very sparse (and maybe misattributed) event sets.
If you count 5 "abc" and 5 "xyz" in a counting bloom filter, it will always say you had 10 events, but might say they were 10 of the same event.
If you count the same in Morris's structure, it will never confuse the two different sets, but might say one occurred 4 times and the other 8.
Of course, that means you can combine the two, for the benefits and downsides of both - storing very high (and inaccurate) counts of very sparse (and maybe misattributed) event sets.