I watched it and read all the comments above. I realized SHL was a lawyer. He is good at proving it is violated.

When I watched it first, I had the same question as Nikola's. "If you don't know the result, which is correct to use?" Then I understood Suki's examples. However, as BB(Beard Brain)said, I haven't heard "try ~ing" that much. It is because probably Japanese people learn American English at school.
This is just my guessing as a student.
I think that the usage of 'try to' is related to the tense not to the difficulty of the actions. Because you never know the result of the actions. When you know the result once, you don't have to say 'tried~ing'. You can say, 'did'.
I tried to lose weight = I tried and failed.
I tried losing weight = I tried (and succeeded to some extent) but things still didn't work out the way I wanted.
In this case, the second one means unsuccessful result too.so, non English speakers don't notice the difference from the first one. So Americans use alternative expressions when they started talking in their diverse culture.
This is my assumption.
I'd say when I knew the result and used the past tense.
I tried to lose weight, but I failed.
I lost my weight a little bit successfully, not perfectly though, I tried many methods.
'try + nouns' are seen in any situations. But I wouldn't say ' I tried taking many methods" or 'tried losing my weight'. It sounds confusing to me because I can't figure out what result was.
The past tense 'tried to' is seen in the failed situations obviously. But if the result was good, alternative expressions are used instead of 'try'. It's natural.
I tried to call him and wanted to say I was sorry. But he never answered the phone
I called him and said sorry. He forgave me. ← I wouldn't say, "I tried calling and said", if I knew the good result.
The present and future tense, 'try to' is used for giving a try.
Try to call him! He will forgive you.
Yeah, I'll try to do it tonight. (Usually, you say, "I'll call him.")
I climbed Mt.Fuji this year. I'll try to climb Everest next year.
In my brain,
try to vs try -ing doesn't exist.
try to(not result yet) vs tried to(unsuccessful result) exists.
P.S.
I watched the video again. Hold on...."try adding salt", "try speaking English" is also natural. It sounds familiar to me! ....mmm...I Gave up! I tried to figure it out., but I failed.