"sorry if i upset you" is a common apology term that most people see as fake.
people who apologize this way are often shunned, insulted and the term is referred to as "conditional."

for the most part, i agree.
if someone has really upset you and is obviously in the wrong, but they apologize ONLY with "sorry if i upset you", they are probably not a good friend.
however, i want to point out a side that most people don't really know so that maybe, from those apologies, it's possible for you to pick out a person that is genuinely a good person and means different.

impossible/controversial situations
for example, a friend makes a joke and you are hurt. for some people, the joke may be harmless and even funny. in that case, your friend may apologize with, "oh, i'm sorry i upset you" or "sorry if that was offensive".
if it is impossible for the person to know whether you're upset or offended or not, or if the content isn't necessarily obviously in the wrong, i think it's all right for the person to say that.
other jokes, such as racism, shaming, or sexist jokes aren't okay. in that case, they probably should apologize FOR what they did.
yet sometimes it's impossible for someone to know. in that case, you should do your best to accept it.

if they make a joke and you're hurt, and they say "i'm sorry i upset you" and you say "yeah, i was hurt" or something, and they reply with, "then i'm truly sorry for saying that", please please give them another chance (unless other factors ofc).

they genuinely mean it
most people who say "sorry if i upset you" that are not good friends don't mean what they say. you can tell that with tone of voice, how quick they move on, and how they choose their words.

but even good people don't know everything. they may see "sorry if i upset you" as a valid apology, or they may not know what someone feels about those words. they can't read your minds.
what good people do know is how you feel. they're considerate and genuinely want to know that you recognize that you made a mistake. if you hear a "sorry if i upset you", but it's genuine -- tears, soft and confident words, hugs, etc -- you should accept it. maybe not forgive, but at least accept it.

the worst you can do when someone is apologizing genuinely but it's not what you want is to be rude.

nobody, not even your closest friends, know exactly what your ideal apology is. just because someone doesn't meet all your requirements doesn't mean that they're a bad person, nor that they're not genuine with their apology.

everybody has a different way of apologizing. each and every one can be heartfelt and genuine.

if you try your best to dig deeper into each and every apology, you may find yourself with a true friend that treasures you more than you think, and is a better person that you ever thought they were.

no matter what you think of that certain apology, it depends on the type of person they are that distinguishes them from good and bad.