The enterprise plan is a very custom plan - if you only need access to one or two features and/or only have a few million requests a month, the price can be pretty cheap (much less than the 5k/mo price advertised on the CF dashboard), but if you want mission-critical features like bot management[0], access to China datacenters[1], etc. it definitely can get into the 6-figure range - and they do have over 550 customers paying 6 figures or more [2].
But just getting one to remove the cookie is probably not worth it since it will end up costing more than a business plan (200/mo) regardless.
0: https://www.cloudflare.com/products/bot-management/
1: https://www.cloudflare.com/network/china/
2: http://d18rn0p25nwr6d.cloudfront.net/CIK-0001477333/09769260... (page 63)
