That respondent is actually painting with a very broad brush. For example, many Catholics feel that way, but not all. Their current Pope holds to this idea. Now I have not met a Methodist, Baptist, Southern Baptist, Lutheran, Pentecostal, Nazarene, or any of the major Protestant religions ever make that claim. In fact, I have good fellowship with all of them. We just try not to quibble over minutia.
There are denominations that fit this bill. Some I classify as cults. There are the Seventh Day Adventists, Church of Latter Day Saints, and Jehovah Witnesses. There are other religions that fit this bill as well, but we are talking about Christian denominations.
Jesus said_I_am the Way, the Truth, and the Life. No other denomination can take that statement and apply it to them. If they do, they are only fooling themselves.