Brysing, that's like saying why would anyone go skydiving, or scuba diving, or any other dangerous sport. Of course no one needs to but some people want the experience. I started for that reason and because I was in trouble financially. I didn't start off with demons but with spirits from the arbatel. It was a while before I began working with the goetia and then, it was just to see what it was like.
Perych. Skydiving and scuba diving, as are other sports, actually real events. Summoning a demon? Well, perhaps! Nevertheless the two things don't collate. Belief in demons is exactly that, a belief. The sports are actual events. Let's not mix reality with belief, please!
You did not ask me why I believe in demons but why I chose to evoke them. I too was a bit skeptical at first but experience changed my mind. If you choose not to believe in demons, that's your decision, not mine. For me, evocation is as real of a practice as any sport although that certainly nay not be the case for you.
Brysing demons or not... there is one thing you can agree on is that of positive and negative energies out there... so its not far fetch of that ... that demons can be manifestation's of that negative energy.... whether or not you want to call it as such...
Summoning
Simply put summoning spell is a spell used to invoke presence of entity in our physical realm or even in oneself. Its a typical representative of drawing spells. It is similar, but different to whats described as Conjuring spell ( spell to procure something to us, to draw us money, or specific person etc ) , though when someone mentions conjure, I think of tradition-bound spells , Conjure spells.
Most older European grimoires are packed full of summoning spells, specific spirit summoning spells may I add. Such as Goetia or Necronomicon ( which is fake though ) or G Grimoire Armadel
Hope that sheds some light on Your inquiry
I really don't think there is any such thing as a summoning "spell". The reason is because evoking an entity is in fact, a long laborous ritual. The name spell is for simpler things.
Without the various methods within the rituals Perrych speaks of there are generally no measures taken to protect one's self from an entity in place, and nor are there any measures in place to bind such a thing to your will. This leaves it free to act however it desires, something many magicians would frown upon. It is also worth noting that even if you are of the opinion that evocation/summoning is disrespectful, many of the beings worth evoking are of a frame of mind where, to some extent, evocation displays the worthiness of an individual who will be served.
I would recomend you to use the summonings of the necronomicon spellbook and tye solomonic lesser keys that are most effective here is a list of some with a link to the summoning instruction if possible but I would recomend you actually buying the book and doin A LOT of research before starting as well as being familiar with the ritual as it can risk your life if you spell a word wrong:
1.Necronomicon Spellbook ( its much better if read the necronomicon): http://ebooksfreedownload.org/2011/10/necronomicon-spellbook-by-simon.html
2.The lesser key of solomon( link included in next link together with grimorium verum)
Summoning that kind of "spirits" casn be harmful and produce negativities and even weaknesses in your energy... You never know what kind of spirit you ll summon and what that will cause you... You may angry them like that they do as they will... You never know... But I agree.. why would you like to do that? If there is no serious reason just don't