The comparison game is really a mess. It's David Barrett who compiled his list and got it generally accepted, even by the UN, I read somewhere. There aren't 33,000 Protestant denominations and no other researcher or encyclopedia comes even close to that number. That's because he counted every opinion group within a church body (Low Church Anglicans vs High Church Anglicans, for example) just as he also counted different rites under the Vatican and insisted that this was correct to do. But he also counted all sodalities and religious orders AND counted the same church as a different one if it was in another country (The RCC would, therefore be one church in the USA and a separate denomination in Canada).
In short, the 33,000 figure is bogus, but Catholics hold onto it like a kid with an ice cream cone since it sounds so good when posted against Protestants. But of course, the hundreds of Catholic and Orthodox churches--also insisted upon by Barrett--are conveniently ignored or even vehemently denied by them. There are 1-8000 Protestant denominations, depending on who is counting, and a few dozen to about a thousand or more Catholic and Orthodox ones. From my POV, that explodes the notion of there being only one Catholic Church, even if several dozen isn't as impressive as a few hundreds or a thousand.
Here, however, from Bible.ca, is a summary that gives some hint of the situation. There is much more if one wants to explore it.
Conclusion:
- The Roman Catholic and Orthodox churches have no "high moral ground" upon which to walk when it comes to denominationalism. They are highly divided even within their own ranks.
- If traditionalists claim there are 30,000 Protestant denominations, then apples to apples, there are 1712 traditionalist denominations. (410 Roman Catholic + 1302 Orthodox = 1712) An apples to apples comparison would look like this:
Table "Conclusion A"
Type
Number of denominations
Roman Catholic
410
Orthodox
1302
Protestant
8848
Independent
20,872