This is actually a little bit of a tricky question to answer, as you have stated that you don’t intend on living in Japan, but I am guessing you are learning it for fun/content consumption such as anime/manga? (please correct me if I am wrong).
The reason it is difficult to answer is because ‘honorifics’ refers mostly to name suffixes such as さん, さま, どの, くん, and a whole bunch of others which are perhaps more ‘endearing’ than they are honorific.
On the other hand, if you mean polite language such as structures like いたす、お~する、になる、なさる, etc etc, then it changes. So I will answer based on both.
A: (Name suffixes) - I would definitely recommend learning these, as you will see them all the time regardless of whether you live in Japan or not. They pervade every type of media you can think of.
B: (Polite language) - This one depends more on your preferences of consumption. I usually find that slice of life (school life) anime/manga does not have much polite language except for です/ます, so you can probably totally get away without specifically learning it. However, once you move into the fantasy field, it will become a mixed bag. Sometimes there will be a ‘token’ character that speaks exclusively in very very polite language, other times there won’t be anything at all. If you read manga/anime that is based on the workplace, you will run into it a lot more often, so I would recommend learning it. Lastly, if you watch J-dramas (live action), I definitely recommend learning it, as it comes up a lot more often than in anime.
Last note - If you do ever intend on coming to Japan, I definitely recommend learning them, as almost every intercom type message that you will hear in any shop/train station will use polite language almost exclusively. In addition to this people that work in shops will only ever use polite language with you unless you specifically request them to ‘not please’.