I'm Black and study in Debrecen and the experiences are more or less the same. Expect the following, in the order of occurrence:
Would I be counted in this 'especially asian' category and periodically face racism? And what, does that mean I'll be pelted with rocks by local children or is it like most places where I'll just get stared at by elderly women?
1. Stared at a lot by the elderly men & woman, to annoying proportions.
2. To be ripped off by taxi drivers.
3. Wait in long queues occasionally.
And indeed some Hungarians are so hospitable that you begin to wonder if they were actually Hungarians in the 1st place. In contrast, others are intolerant to foreigners. You'll meet a few along the way. Yet another category would like to help you, but they feel intimidated (or uncomfortable ) by your English and may just dismiss you or appear unwilling to help.
But hey, we all have our various experiences.
Lastly, I don't think any kid would go out of their way to pelt you with stones (where did you get this from? LOL). No. Rather the kids get excited as they move in a single file after school with their nannies. They'll all innocently wave at you, smiling!
UD-MHSC, Debrecen, Magyarország.
Pls peruse the forum before sending me PMs. All answers to your questions are there!