I've been with lots of Asian men.
How are they? Well... Totally different from each other, first of all! That's the thing.
I feel like the word "Asian" is very generic and describes half of the world, a set of incredibly different and unrelated cultures and ethnicities. And behind these labels there is always a distinct person, with their own unique personality, and who may or may not abide to those cultural traits anyway.
I can tell some stories if you wish, but it would help if we could point one country/area of Asia, so I'll avoid telling about the Uzbek guy if you're interested on how Filipinos are perceived for example
Now, I will say one thing. I saw your introduction message, where you say "I am an average-looking Asian guy". This is something I've seen written countless times on dating profiles from guys typically from East Asia, often phrased as "oh I'm just an average Asian guy".
I know a lot of Asian cultures have a strong focus on collectivism, and it sounds like a form of modesty too. But... The message you're conveying is "I'm just one of many, I don't stand out". And it's also false, because no one is average. It is polite, but also the opposite of what draws people's attention on dating apps. In short: don't say it! Say you're a movie geek and love spending a night watching movies from the '60s (random example) and you'll give someone a topic to talk about, which makes you more unique and interesting.
I used to have this friend with benefit. Indonesian-Chinese guy. He's gorgeous, hot, attractive and a very nice guy too. Very sexy and self-confident, somewhat dominant bottom in bed. He had me hooked with every word he said. And yet... It struck me that he refused to write anything on his dating profile, because he felt he was drawing too much attention on himself! I told him that he could have had sooooo many more guys, if he had the same witty and flirty attitude on his profile, as when he was face to face with me.