Techniques from different arts?

Most martial arts have developed and evolved over hundreds of years, over that time many techniques have been developed by one art and eventually been Incorporated into others. As a result you'll find similar techniques popping up in arts that on the face of it look very different. By taking techniques from other arts and using them in your own you are carrying on a long tradition. What really matters is whether the technique works within the style you are doing. Have fun trying to see what works and what doesn't!

How would an abstract concept (an "art") feel insulted?

Ultimately it depends on what your goals are. Many martial arts are, unfortunately, designed as a way to immitate the creator of said art. They have become more about style than substance.

If you're into pragmatism, and you want to incorporate a technique that is useful to your end goal, do so. It's not like the evil karate spirits will erupt from the ground to drag you into damnation if you do.

There is a problem I have run into. You start adding stuff,and you start to find things that work better(at least for yourself) than what you are taught or are supposed to be learning and doing. Now you are forced to use a technique either to get rank,or approval,that is now unnatural or unaccepted.You know,you can't be smarter than your teacher.Thankfully there is sparring,where you can skate your own way, and if you are winning, people quit trying to "tweak" you back. If you are losing most of the time,you should start taking advice and quit adding things,because whatever you are doing "ain't workin"

Why it depends. Some things just don't go well together. However sometimes when you combine techniques, it does very well. For example, take wing chun. It focuses on fast movements, however each individual movement isn't as strong as a boxer's punch. But, if you combine the boxer's punch and some wing chun together, you'll have one really good puncher.

if i find one thats not in my kata i will add it in, its not very often i don't find it in kata.

not including all the tkd kicks. and i dont use those anyway for other reasons.

no its not an insult. styles are meant to evolve and change.

if you look at okinawan styles there is no side or round house kick in there styles or most of them. it doesn't exist in kata so its not in the style. but almost every one of them teaches them.

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in rare events when i do take techniques from other styles, i do tell my students the technique does come from such and such style.

NO I would not include it in my style, but it can be and is include in things that we teach. It is supplemental. There are some strikes and some kicks like a crescent kick that is not in our style. BUt we teach in in our class. But we also let our students know this is not part of our style but we teach this anyway.

Martial Arts is an art. All arts take pieces from other arts and add them to their own. I think its ridiculous not to in some strange attempt to "preserve a tradition".

Grow, evolve.

as long as it works for you without impeding you there is no problem.

almost everyone will tell you just don't do it if it hinders you but try to practice it until you can do it good but maybe it might need a slight bit of modification for your body type.

personally i think it improves the art so go for it and take it as far as you can

just depends