So you too are among those avoiding answering the premise question; what is your working definition of a faction, a sect, an order and a denomination.
When you define "denomination" as a religious organization with a unique authority, which is how Catholicism defines it, we may well find that the number of Protestant demoninations has achieved a number very near the actual number of professed Protestants.
well, it isn’t the magisterium giving the numbers. WOW over 240 denominations in the RCC! Who’s got the keys?