When it comes to sugyas there are different types of hard such as difficult/subtle concepts, terse/difficult wording, סתירות to resolve, etc.
I have no knowledge of the exact words of the Chazon Ish and what reason he might have offered. If I had to venture a guess, I would say that the difficulty in פרק כירה is the following.
Here the "hard" emerges from the sheer number of halachic variables to contend with when heating food or preserving the food's heat on Shabbos. The following is not a completely exhaustive list but it includes:
- Type of heat source: eg. כירה, תנור, כופח, מוליאר, אנטיכי
- State of heat source: whether גרופה וקטומה or not
- Type of fuel used for the fire: eg. קש\גבבא, גפת\עצים
- Activity: eg. שהייה, החזרה, הטמנה
- Mindset during activity: eg. whether דעתו להחזיר or not
- Type of food: eg. תבשיל, חמין
- State of food: eg. raw, כמאכל בן דרוסאי, מבושל כל צורכו
- Reaction of food to overcooking: מצטמק ויפה\רע לו
- Position of food in relation to oven: eg. inside, top, near
- Reason איסור דרבנן generated: שמא יחתה, מחזי כמבשל
This leads to a high number of potential cases and outcomes to remember and master. And this is even before we delve into a myriad of halachic opinions about these cases emerging from differences among the Tannaim and how the Amoraim view each opinion of Tannaim and how the Rishonim view all of the above. Then for extra credit, what are the סברות for each of these opinions re: rabbinic prohibitions which are often less defined and more difficult to categorize when compared with Biblical prohibitions.
This often leads to people writing down large tables and charts just to keep track eg. this which I saw (p. 6 of the PDF) at daf-yomi.com.