There are lots of arguments for and against this idea.
I typed it with a tired mind, so here are some additional thoughts:
During the byteball distribution, people complained, that they don't have BTC, but have other coins. Having a system in which not only a single coin, but lots of different cryptocurrencies can be used, was one reason for this idea.
Instead of just linking up wallets, burning coins creates a kind of "gate". This would prevent people from linking up giant BTC addresses, like ICO funds and stuff.
Because people have to actually spend money, instead of getting stuff for free, the risk of dumping may be lower. Of course, this depends on the quality of the coin created.
People complain about ICOs being get-rich-schemes for "developers". I get that. I don't think this is necessarily a given, but devs might decide that they want to prove their honesty and commitment by not taking the money for themselves (again, see byteball).
apart from the fact that burning coin is a bad idea, and i don't see much point in doing it, my thought is that what is wrong with the good old normal way of making a new altcoin, have normal chain and distribution without ICO, premine,.... and just let everyone mine from block one and distribute coins with a logical economical roadmap in mind and with a realistic number of coins!
why should we ignore this and choose complicated bad ways?
Not every cryptocurrency works in a way where mining is an option, for example if the amount of coins/tokens is fixed. You may create a minable token that can be exchanged later on, though. Might not be the worst idea, actually.