The DCC funnel works for LL. My current campaign (6 months in, now) started with the funnel. I bought the DCC game book thinking it'd be cool. It sucked. The only redeeming point was the funnel, so I copied those pages and sold the book.
My players did not like using the funnel. They didn't like playing four characters each and didn't like the characters they had. As a DM, an unforseen issue which came up was that you might randomly start with a dwarf or an elf with attributes below the minimum for those classes. This happened to two of the dwarves which were rolled up. When they became first level I bumped up their CON to be the dwarf minimum according to LL.
After the characters died off, I decided that all new characters will start at 1st level. The players are much happier about it.
Perhaps your players will be different but for my campaign, it was a fun, but in the end, futile attempt.